Greatest Common Factor of 7968 and 7976

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 7968, 7976 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7968 and 7976 is 8.

GCF(7968,7976) = 8

GCF of 7968 and 7976

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

GCF of:
and

Greatest Common Factor of 7968 and 7976

GCF of 7968 and 7976 is 8

Prime Factorization of 7968


2 7968
2 3984
2 1992
2 996
2 498
3 249
83 83
1

Prime factors of 7968 are 2,3,83. Prime factorization of 7968 in exponential form is:

7968 = 25×31×831

Prime Factorization of 7976


2 7976
2 3988
2 1994
997 997
1

Prime factors of 7976 are 2,997. Prime factorization of 7976 in exponential form is:

7976 = 23×9971

∴ So by taking common prime factors GCF of 7968 and 7976 is 8

Greatest Common Factor of 7968 and 7976 by matching factors method

Factors of 7968

List of positive integer factors of 7968 that divides 7968 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,83,96,166,249,332,498,664,996,1328,1992,2656,3984,7968

Factors of 7976

List of positive integer factors of 7976 that divides 7976 without a remainder.

1,2,4,8,997,1994,3988,7976

Greatest Common Factor

We found the factors and prime factorization of 7968 and 7976. The biggest common factor number is the GCF number.
So the greatest common factor 7968 and 7976 is 8.

Also check out the Least Common Multiple of 7968 and 7976

Properties of GCF 7968 and 7976

(i) The GCF of 7968 and 7976 is associative

GCF of 7968 and 7976 = GCF of 7976 and 7968

Related Greatest Common Factor of 7968

Related Greatest Common Factor of 7976

Frequently Asked Questions on GCF of 7968 and 7976

1. What is the GCF of 7968 and 7976?

Answer: GCF of 7968 and 7976 is 8.

2. What are the Factors of 7968?

Answer: Factors of 7968 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 83, 96, 166, 249, 332, 498, 664, 996, 1328, 1992, 2656, 3984, 7968. There are 24 integers that are factors of 7968. The greatest factor of 7968 is 7968.

3. What are the Factors of 7976?

Answer: Factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976. There are 8 integers that are factors of 7976. The greatest factor of 7976 is 7976.

4. How to Find the GCF of 7968 and 7976?

Answer:

Greatest Common Factor of 7968 and 7976 = 8

Step 1: Find the prime factorization of 7968

7968 = 2 x 2 x 2 x 2 x 2 x 3 x 83

Step 2: Find the prime factorization of 7976

7976 = 2 x 2 x 2 x 997

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7968 and 7976 is 8