In math, the greatest common factor is the largest number that can divide evenly into two other numbers . For example, the greatest common factor of 12 and 30 is 6. You can also call the greatest common factor the greatest common divisor.
How do u find the greatest common factor?
The greatest common factor is the greatest factor that divides both numbers . To find the greatest common factor, first list the prime factors of each number. 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.
What does GCF mean?
GCF stands for greatest common factor . The greatest common factor of two numbers is the greatest number that is a factor of both of them.
What is the greatest common factor and why is it important?
Factoring is very helpful in simplifying expressions and solving equations involving polynomials. The greatest common factor (GCF) of two numbers is the largest number that divides evenly into both numbers .
What is the HCF of 70 and 30?
Therefore, the greatest common factor of 30 and 70 is 10 .
What is the GCF of 15 and 30?
GCF of 15 and 30 by Listing Common Factors
There are 4 common factors of 15 and 30, that are 1, 3, 5, and 15. Therefore, the greatest common factor of 15 and 30 is 15 .
What is the GCF of 12 and 30?
GCF of 12 and 30 by Listing Common Factors
Therefore, the greatest common factor of 12 and 30 is 6 .
What is the GCF of 12 and 18?
Example 1: 6 is the greatest common factor of 12 and 18.
What is the GCF of 12 and 24?
GCF of 12 and 24 by Listing Common Factors
There are 6 common factors of 12 and 24, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 12 and 24 is 12 .
What is the GCF of 12 and 36?
GCF of 12 and 36 by Prime Factorization
As visible, 12 and 36 have common prime factors. Hence, the GCF of 12 and 36 is 2 × 2 × 3 = 12 .
What are the common factors of 20 and 16?
There are 3 common factors of 16 and 20, that are 1, 2, and 4 . Therefore, the greatest common factor of 16 and 20 is 4.
What is highest common factor used for?
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share . For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators.
What is the HCF of 25?
To find the HCF of 25 and 40, we will find the prime factorization of the given numbers, i.e. 25 = 5 × 5; 40 = 2 × 2 × 2 × 5. ⇒ Since 5 is the only common prime factor of 25 and 40. Hence, HCF (25, 40) = 5 .
What is the HCF of 112?
To find the HCF of 91, 112 and 49, we will find the prime factorization of given numbers, i.e. 91 = 7 × 13; 112 = 2 × 2 × 2 × 2 × 7; 49 = 7 × 7. ⇒ Since 7 is the only common prime factor of 91, 112 and 49. Hence, HCF(91, 112, 49) = 7 .
What is the HCF of 84?
The highest number that divides 84 and 90 exactly is their highest common factor, i.e. HCF of 84 and 90. ⇒ Factors of 84 and 90: Factors of 84 = 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
What is the GCF of 7 and 10?
What is the GCF of 7 and 10? The GCF of 7 and 10 is 1 .
