Greatest Common Factor of 8964 and 8972

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 8964, 8972 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8964 and 8972 is 4.

GCF(8964,8972) = 4

GCF of 8964 and 8972

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

GCF of:
and

Greatest Common Factor of 8964 and 8972

GCF of 8964 and 8972 is 4

Prime Factorization of 8964


2 8964
2 4482
3 2241
3 747
3 249
83 83
1

Prime factors of 8964 are 2,3,83. Prime factorization of 8964 in exponential form is:

8964 = 22×33×831

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

∴ So by taking common prime factors GCF of 8964 and 8972 is 4

Greatest Common Factor of 8964 and 8972 by matching factors method

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Factors of 8972

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

1,2,4,2243,4486,8972

Greatest Common Factor

We found the factors and prime factorization of 8964 and 8972. The biggest common factor number is the GCF number.
So the greatest common factor 8964 and 8972 is 4.

Also check out the Least Common Multiple of 8964 and 8972

Properties of GCF 8964 and 8972

(i) The GCF of 8964 and 8972 is associative

GCF of 8964 and 8972 = GCF of 8972 and 8964

Related Greatest Common Factor of 8964

Related Greatest Common Factor of 8972

Frequently Asked Questions on GCF of 8964 and 8972

1. What is the GCF of 8964 and 8972?

Answer: GCF of 8964 and 8972 is 4.

2. What are the Factors of 8964?

Answer: Factors of 8964 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 83, 108, 166, 249, 332, 498, 747, 996, 1494, 2241, 2988, 4482, 8964. There are 24 integers that are factors of 8964. The greatest factor of 8964 is 8964.

3. 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.

4. How to Find the GCF of 8964 and 8972?

Answer:

Greatest Common Factor of 8964 and 8972 = 4

Step 1: Find the prime factorization of 8964

8964 = 2 x 2 x 3 x 3 x 3 x 83

Step 2: Find the prime factorization of 8972

8972 = 2 x 2 x 2243

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 8964 and 8972 is 4