The greatest common factor of 30, 48, and 60 is 6
What is the greatest common factor of 60 and 48?
The greatest common factor of 60 and 48 is 12
Why 12? Because it divides both numbers without leaving a mess, and nothing larger does the job. Take 60—its factors are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. Now 48—its factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. See that 12? It’s the only number hanging out in both lists. According to Math is Fun, this no-frills approach works great when you’re dealing with smaller numbers or just need a quick sanity check.
What is the greatest common factor for 30 48?
The greatest common factor of 30 and 48 is 6
Six fits into both 30 and 48 like a glove. Thirty’s factor crew: 1, 2, 3, 5, 6, 10, 15, 30. Forty-eight’s squad: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The overlap? 1, 2, 3, and 6. Six is the big boss here. Teachers love throwing this one into fraction drills or group activities. Imagine you’ve got 30 students and 48 chairs—six is the largest group size that lets you split them evenly without leftovers.
What is the greatest common factor of 24 30 and 42?
The greatest common factors of 24, 30, and 42 are 1, 2, 3, and 6
Let’s line up the factor families. Twenty-four shows off 1, 2, 3, 4, 6, 8, 12, 24. Thirty brings 1, 2, 3, 5, 6, 10, 15, 30. Forty-two chimes in with 1, 2, 3, 6, 7, 14, 21, 42. Only four numbers—1, 2, 3, and 6—show up in every single list, with six sitting at the top. This trick comes in handy when you’re juggling three numbers and hunting for shared divisors. Planning a party? Need to divide 24 snacks, 30 drinks, and 42 decorations into identical goody bags? Six is your golden ticket for equal distribution.
What are the factors of 30 and 48?
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30
Thirty’s factor squad: 1, 2, 3, 5, 6, 10, 15, 30. Forty-eight’s crew: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Glance at both lists and the overlaps practically scream at you—2, 3, and 6 are flashing red flags. These lists are pure gold for spotting GCFs or crushing fractions down to size. Say you’re reducing 30/48—divide both numerator and denominator by their GCF of 6 and boom, you’ve got 5/8 in simplest form.
What is the greatest factor of 10 30 and 45?
The greatest common factor of 10, 30, and 45 is 5
Five sneaks into 10, 30, and 45 without breaking a sweat. Ten’s family: 1, 2, 5, 10. Thirty’s clan: 1, 2, 3, 5, 6, 10, 15, 30. Forty-five’s relatives: 1, 3, 5, 9, 15, 45. The only overlaps? 1 and 5. Five takes the crown here. Perfect for fraction surgery when you need the simplest denominator. Baking something? Need to scale a recipe calling for 10 cups of flour, 30 teaspoons of sugar, and 45 eggs? Divide each by 5 and you’ve got manageable amounts for a smaller batch.
What is the GCF of 30?
The GCF of 30 and another number depends on what you’re comparing it to
GCF needs a partner—by itself, 30 doesn’t have one. Pair it with 75, for example, and the GCF jumps to 15. Break it down: 30 = 2 × 3 × 5, 75 = 3 × 5 × 5. The shared primes are 3 and 5, so 3 × 5 = 15. Always bring a buddy when you ask about GCF. Try pairing 30 with 42—your GCF becomes 6, which is great for splitting a 30-minute workout and a 42-minute study session into equal 6-minute intervals.
What is the GCF of 18 and 36?
The GCF of 18 and 36 is 18
Eighteen divides both 18 and 36 like a hot knife through butter. Eighteen’s factors: 1, 2, 3, 6, 9, 18. Thirty-six’s full roster: 1, 2, 3, 4, 6, 9, 12, 18, 36. Since 18 is in both camps—and it’s the biggest name on the list—it takes the GCF trophy. Classic case when one number is basically a scaled-up version of the other. Think doubling a recipe: if your original calls for 18 cups of flour, doubling it to 36 cups means the GCF is still 18.
What is the GCF of 82 and 20?
The GCF of 82 and 20 is 2
Two is the only number that doesn’t leave a remainder for both 82 and 20. Twenty’s prime DNA: 2 × 2 × 5. Eighty-two’s signature: 2 × 41. The lone shared prime? Two. So the GCF is two. Odd-even pairings often end up here—shared divisors get limited to 1 or 2. Splitting 82 guests and 20 centerpieces into pairs? Two is your magic number for equal distribution.
What is the GCF of 20 and 30?
The GCF of 20 and 30 is 10
Ten slides right into both 20 and 30. Twenty’s crew: 1, 2, 4, 5, 10, 20. Thirty’s lineup: 1, 2, 3, 5, 6, 10, 15, 30. The overlaps? 1, 2, 5, and 10. Ten stands tallest. This is the bread-and-butter example teachers wheel out when they first explain GCF. Organizing a 20-person meeting and a 30-person workshop? Split both into 10 equal groups of 2 and 3 people respectively—coordination made easy.
What is the HCF of 24 30 and 36?
The highest common factor (HCF) of 24, 30, and 36 is 6
HCF is just another name for GCF, and for 24, 30, and 36 it’s six. Twenty-four’s factors: 1, 2, 3, 4, 6, 8, 12, 24. Thirty’s list: 1, 2, 3, 5, 6, 10, 15, 30. Thirty-six’s squad: 1, 2, 3, 4, 6, 9, 12, 18, 36. The numbers showing up everywhere: 1, 2, 3, and 6. Six sits at the top. Great for splitting groups or scheduling without leftovers. Planning a 24-hour charity event, a 30-hour volunteer shift, and a 36-hour setup window? 6-hour blocks let you coordinate seamlessly across all three.
What is the GCF of 30 and 42?
The GCF of 30 and 42 is 6
Six fits perfectly into both 30 and 42. Thirty’s crew: 1, 2, 3, 5, 6, 10, 15, 30. Forty-two’s gang: 1, 2, 3, 6, 7, 14, 21, 42. The overlaps? 1, 2, 3, and 6. Six takes the crown. Another textbook example for fraction reduction or fair resource splits. Dividing 30 pizzas and 42 sodas among teams? Six is the largest equal share you can give each group.
What is the GCF of 24 30?
The GCF of 24 and 30 is 6
Six is the big cheese for 24 and 30. Twenty-four’s factors: 1, 2, 3, 4, 6, 8, 12, 24. Thirty’s crew: 1, 2, 3, 5, 6, 10, 15, 30. The overlaps? 1, 2, 3, and 6. Six stands tallest. This is the go-to demo when kids first learn GCF. Arranging 24 desks and 30 chairs in a classroom? Six is the largest group size that lets you form equal rows without leftovers.
What is the LCM of 30 36 and 48?
The least common multiple (LCM) of 30, 36, and 48 is 720
To hit 720, start with prime breakdowns: 30 = 2 × 3 × 5, 36 = 2² × 3², 48 = 2⁴ × 3. Grab the highest power of each prime—2⁴, 3², and 5—and multiply: 16 × 9 × 5 = 720. That’s the smallest number all three will divide into without a fuss. Useful for aligning schedules or finding common denominators. Scheduling three different machines that need maintenance every 30, 36, and 48 hours? 720 hours (or 30 days) is the first time they’ll all need service simultaneously.
What’s the GCF of 32 and 48?
The GCF of 32 and 48 is 16
Sixteen divides both 32 and 48 cleanly. Thirty-two’s crew: 1, 2, 4, 8, 16, 32. Forty-eight’s lineup: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The overlaps? 1, 2, 4, 8, and 16. Sixteen takes the prize. Classic example of GCF when one number is a scaled-up version of the other. Resizing a photo? Original is 32 pixels wide, scaled to 48 pixels—16 is the largest block size that fits evenly into both dimensions.
What is the greatest common factor of 28 and 48?
The greatest common factor of 28 and 48 is 4
Four fits neatly into both 28 and 48. Twenty-eight’s family: 1, 2, 4, 7, 14, 28. Forty-eight’s gang: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The overlaps? 1, 2, and 4. Four stands tallest. Perfect for fraction simplification or splitting resources evenly. Cutting a 28-inch rope and a 48-inch rope into equal pieces? 4 inches is the longest length you can make without wasting any material.
Need a quick method? Use the Euclidean algorithm: divide the larger number by the smaller, then repeat with the remainder until you hit zero. For 48 ÷ 28 = 1 remainder 20; then 28 ÷ 20 = 1 remainder 8; then 20 ÷ 8 = 2 remainder 4; finally 8 ÷ 4 = 2 remainder 0. The last non-zero remainder is your GCF—4. This trick saves time with bigger numbers.
