Greatest Common Factor of 7968 and 7972

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, 7972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7968 and 7972 is 4.

GCF(7968,7972) = 4

GCF of 7968 and 7972

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

GCF of:
and

Greatest Common Factor of 7968 and 7972

GCF of 7968 and 7972 is 4

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 7972


2 7972
2 3986
1993 1993
1

Prime factors of 7972 are 2,1993. Prime factorization of 7972 in exponential form is:

7972 = 22×19931

∴ So by taking common prime factors GCF of 7968 and 7972 is 4

Greatest Common Factor of 7968 and 7972 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 7972

List of positive integer factors of 7972 that divides 7972 without a remainder.

1,2,4,1993,3986,7972

Greatest Common Factor

We found the factors and prime factorization of 7968 and 7972. The biggest common factor number is the GCF number.
So the greatest common factor 7968 and 7972 is 4.

Also check out the Least Common Multiple of 7968 and 7972

Properties of GCF 7968 and 7972

(i) The GCF of 7968 and 7972 is associative

GCF of 7968 and 7972 = GCF of 7972 and 7968

Related Greatest Common Factor of 7968

Related Greatest Common Factor of 7972

Frequently Asked Questions on GCF of 7968 and 7972

1. What is the GCF of 7968 and 7972?

Answer: GCF of 7968 and 7972 is 4.

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 7972?

Answer: Factors of 7972 are 1, 2, 4, 1993, 3986, 7972. There are 6 integers that are factors of 7972. The greatest factor of 7972 is 7972.

4. How to Find the GCF of 7968 and 7972?

Answer:

Greatest Common Factor of 7968 and 7972 = 4

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 7972

7972 = 2 x 2 x 1993

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 7968 and 7972 is 4