Greatest Common Factor of 7924 and 7931

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 7924, 7931 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7924 and 7931 is 7.

GCF(7924,7931) = 7

GCF of 7924 and 7931

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

GCF of:
and

Greatest Common Factor of 7924 and 7931

GCF of 7924 and 7931 is 7

Prime Factorization of 7924


2 7924
2 3962
7 1981
283 283
1

Prime factors of 7924 are 2,7,283. Prime factorization of 7924 in exponential form is:

7924 = 22×71×2831

Prime Factorization of 7931


7 7931
11 1133
103 103
1

Prime factors of 7931 are 7,11,103. Prime factorization of 7931 in exponential form is:

7931 = 71×111×1031

∴ So by taking common prime factors GCF of 7924 and 7931 is 7

Greatest Common Factor of 7924 and 7931 by matching factors method

Factors of 7924

List of positive integer factors of 7924 that divides 7924 without a remainder.

1,2,4,7,14,28,283,566,1132,1981,3962,7924

Factors of 7931

List of positive integer factors of 7931 that divides 7931 without a remainder.

1,7,11,77,103,721,1133,7931

Greatest Common Factor

We found the factors and prime factorization of 7924 and 7931. The biggest common factor number is the GCF number.
So the greatest common factor 7924 and 7931 is 7.

Also check out the Least Common Multiple of 7924 and 7931

Properties of GCF 7924 and 7931

(i) The GCF of 7924 and 7931 is associative

GCF of 7924 and 7931 = GCF of 7931 and 7924

Related Greatest Common Factor of 7924

Related Greatest Common Factor of 7931

Frequently Asked Questions on GCF of 7924 and 7931

1. What is the GCF of 7924 and 7931?

Answer: GCF of 7924 and 7931 is 7.

2. What are the Factors of 7924?

Answer: Factors of 7924 are 1, 2, 4, 7, 14, 28, 283, 566, 1132, 1981, 3962, 7924. There are 12 integers that are factors of 7924. The greatest factor of 7924 is 7924.

3. What are the Factors of 7931?

Answer: Factors of 7931 are 1, 7, 11, 77, 103, 721, 1133, 7931. There are 8 integers that are factors of 7931. The greatest factor of 7931 is 7931.

4. How to Find the GCF of 7924 and 7931?

Answer:

Greatest Common Factor of 7924 and 7931 = 7

Step 1: Find the prime factorization of 7924

7924 = 2 x 2 x 7 x 283

Step 2: Find the prime factorization of 7931

7931 = 7 x 11 x 103

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

GCF = 7

Step 4: Therefore, the greatest common factor of 7924 and 7931 is 7