Greatest Common Factor of 8972 and 8976

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 8972, 8976 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8972 and 8976 is 4.

GCF(8972,8976) = 4

GCF of 8972 and 8976

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

GCF of:
and

Greatest Common Factor of 8972 and 8976

GCF of 8972 and 8976 is 4

Prime Factorization of 8972


2 8972
2 4486
2243 2243
1

Prime factors of 8972 are 2,2243. Prime factorization of 8972 in exponential form is:

8972 = 22×22431

Prime Factorization of 8976


2 8976
2 4488
2 2244
2 1122
3 561
11 187
17 17
1

Prime factors of 8976 are 2,3,11,17. Prime factorization of 8976 in exponential form is:

8976 = 24×31×111×171

∴ So by taking common prime factors GCF of 8972 and 8976 is 4

Greatest Common Factor of 8972 and 8976 by matching factors method

Factors of 8972

List of positive integer factors of 8972 that divides 8972 without a remainder.

1,2,4,2243,4486,8972

Factors of 8976

List of positive integer factors of 8976 that divides 8976 without a remainder.

1,2,3,4,6,8,11,12,16,17,22,24,33,34,44,48,51,66,68,88,102,132,136,176,187,204,264,272,374,408,528,561,748,816,1122,1496,2244,2992,4488,8976

Greatest Common Factor

We found the factors and prime factorization of 8972 and 8976. The biggest common factor number is the GCF number.
So the greatest common factor 8972 and 8976 is 4.

Also check out the Least Common Multiple of 8972 and 8976

Properties of GCF 8972 and 8976

(i) The GCF of 8972 and 8976 is associative

GCF of 8972 and 8976 = GCF of 8976 and 8972

Related Greatest Common Factor of 8972

Related Greatest Common Factor of 8976

Frequently Asked Questions on GCF of 8972 and 8976

1. What is the GCF of 8972 and 8976?

Answer: GCF of 8972 and 8976 is 4.

2. What are the Factors of 8972?

Answer: Factors of 8972 are 1, 2, 4, 2243, 4486, 8972. There are 6 integers that are factors of 8972. The greatest factor of 8972 is 8972.

3. What are the Factors of 8976?

Answer: Factors of 8976 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 33, 34, 44, 48, 51, 66, 68, 88, 102, 132, 136, 176, 187, 204, 264, 272, 374, 408, 528, 561, 748, 816, 1122, 1496, 2244, 2992, 4488, 8976. There are 40 integers that are factors of 8976. The greatest factor of 8976 is 8976.

4. How to Find the GCF of 8972 and 8976?

Answer:

Greatest Common Factor of 8972 and 8976 = 4

Step 1: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

Step 2: Find the prime factorization of 8976

8976 = 2 x 2 x 2 x 2 x 3 x 11 x 17

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 8972 and 8976 is 4