Greatest Common Factor of 7928 and 7932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 7928, 7932 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7928 and 7932 is 4.

GCF(7928,7932) = 4

GCF of 7928 and 7932

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 7928 and 7932

GCF of 7928 and 7932 is 4

Prime Factorization of 7928


2 7928
2 3964
2 1982
991 991
1

Prime factors of 7928 are 2,991. Prime factorization of 7928 in exponential form is:

7928 = 23×9911

Prime Factorization of 7932


2 7932
2 3966
3 1983
661 661
1

Prime factors of 7932 are 2,3,661. Prime factorization of 7932 in exponential form is:

7932 = 22×31×6611

∴ So by taking common prime factors GCF of 7928 and 7932 is 4

Greatest Common Factor of 7928 and 7932 by matching factors method

Factors of 7928

List of positive integer factors of 7928 that divides 7928 without a remainder.

1,2,4,8,991,1982,3964,7928

Factors of 7932

List of positive integer factors of 7932 that divides 7932 without a remainder.

1,2,3,4,6,12,661,1322,1983,2644,3966,7932

Greatest Common Factor

We found the factors and prime factorization of 7928 and 7932. The biggest common factor number is the GCF number.
So the greatest common factor 7928 and 7932 is 4.

Also check out the Least Common Multiple of 7928 and 7932

Properties of GCF 7928 and 7932

(i) The GCF of 7928 and 7932 is associative

GCF of 7928 and 7932 = GCF of 7932 and 7928

Related Greatest Common Factor of 7928

Related Greatest Common Factor of 7932

Frequently Asked Questions on GCF of 7928 and 7932

1. What is the GCF of 7928 and 7932?

Answer: GCF of 7928 and 7932 is 4.

2. What are the Factors of 7928?

Answer: Factors of 7928 are 1, 2, 4, 8, 991, 1982, 3964, 7928. There are 8 integers that are factors of 7928. The greatest factor of 7928 is 7928.

3. What are the Factors of 7932?

Answer: Factors of 7932 are 1, 2, 3, 4, 6, 12, 661, 1322, 1983, 2644, 3966, 7932. There are 12 integers that are factors of 7932. The greatest factor of 7932 is 7932.

4. How to Find the GCF of 7928 and 7932?

Answer:

Greatest Common Factor of 7928 and 7932 = 4

Step 1: Find the prime factorization of 7928

7928 = 2 x 2 x 2 x 991

Step 2: Find the prime factorization of 7932

7932 = 2 x 2 x 3 x 661

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7928 and 7932 is 4