Greatest Common Factor of 8976 and 8984

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 8976, 8984 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8976 and 8984 is 8.

GCF(8976,8984) = 8

GCF of 8976 and 8984

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

GCF of:
and

Greatest Common Factor of 8976 and 8984

GCF of 8976 and 8984 is 8

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

Prime Factorization of 8984


2 8984
2 4492
2 2246
1123 1123
1

Prime factors of 8984 are 2,1123. Prime factorization of 8984 in exponential form is:

8984 = 23×11231

∴ So by taking common prime factors GCF of 8976 and 8984 is 8

Greatest Common Factor of 8976 and 8984 by matching factors method

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

Factors of 8984

List of positive integer factors of 8984 that divides 8984 without a remainder.

1,2,4,8,1123,2246,4492,8984

Greatest Common Factor

We found the factors and prime factorization of 8976 and 8984. The biggest common factor number is the GCF number.
So the greatest common factor 8976 and 8984 is 8.

Also check out the Least Common Multiple of 8976 and 8984

Properties of GCF 8976 and 8984

(i) The GCF of 8976 and 8984 is associative

GCF of 8976 and 8984 = GCF of 8984 and 8976

Related Greatest Common Factor of 8976

Related Greatest Common Factor of 8984

Frequently Asked Questions on GCF of 8976 and 8984

1. What is the GCF of 8976 and 8984?

Answer: GCF of 8976 and 8984 is 8.

2. 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.

3. What are the Factors of 8984?

Answer: Factors of 8984 are 1, 2, 4, 8, 1123, 2246, 4492, 8984. There are 8 integers that are factors of 8984. The greatest factor of 8984 is 8984.

4. How to Find the GCF of 8976 and 8984?

Answer:

Greatest Common Factor of 8976 and 8984 = 8

Step 1: Find the prime factorization of 8976

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

Step 2: Find the prime factorization of 8984

8984 = 2 x 2 x 2 x 1123

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 8976 and 8984 is 8