Greatest Common Factor of 6976 and 6984

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 6976, 6984 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6976 and 6984 is 8.

GCF(6976,6984) = 8

GCF of 6976 and 6984

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

GCF of:
and

Greatest Common Factor of 6976 and 6984

GCF of 6976 and 6984 is 8

Prime Factorization of 6976


2 6976
2 3488
2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 6976 are 2,109. Prime factorization of 6976 in exponential form is:

6976 = 26×1091

Prime Factorization of 6984


2 6984
2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 6984 are 2,3,97. Prime factorization of 6984 in exponential form is:

6984 = 23×32×971

∴ So by taking common prime factors GCF of 6976 and 6984 is 8

Greatest Common Factor of 6976 and 6984 by matching factors method

Factors of 6976

List of positive integer factors of 6976 that divides 6976 without a remainder.

1,2,4,8,16,32,64,109,218,436,872,1744,3488,6976

Factors of 6984

List of positive integer factors of 6984 that divides 6984 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,97,194,291,388,582,776,873,1164,1746,2328,3492,6984

Greatest Common Factor

We found the factors and prime factorization of 6976 and 6984. The biggest common factor number is the GCF number.
So the greatest common factor 6976 and 6984 is 8.

Also check out the Least Common Multiple of 6976 and 6984

Properties of GCF 6976 and 6984

(i) The GCF of 6976 and 6984 is associative

GCF of 6976 and 6984 = GCF of 6984 and 6976

Related Greatest Common Factor of 6976

Related Greatest Common Factor of 6984

Frequently Asked Questions on GCF of 6976 and 6984

1. What is the GCF of 6976 and 6984?

Answer: GCF of 6976 and 6984 is 8.

2. What are the Factors of 6976?

Answer: Factors of 6976 are 1, 2, 4, 8, 16, 32, 64, 109, 218, 436, 872, 1744, 3488, 6976. There are 14 integers that are factors of 6976. The greatest factor of 6976 is 6976.

3. What are the Factors of 6984?

Answer: Factors of 6984 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 97, 194, 291, 388, 582, 776, 873, 1164, 1746, 2328, 3492, 6984. There are 24 integers that are factors of 6984. The greatest factor of 6984 is 6984.

4. How to Find the GCF of 6976 and 6984?

Answer:

Greatest Common Factor of 6976 and 6984 = 8

Step 1: Find the prime factorization of 6976

6976 = 2 x 2 x 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 6984

6984 = 2 x 2 x 2 x 3 x 3 x 97

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 6976 and 6984 is 8