Greatest Common Factor of 976 and 984

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 976, 984 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 976 and 984 is 8.

GCF(976,984) = 8

GCF of 976 and 984

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

GCF of:
and

Greatest Common Factor of 976 and 984

GCF of 976 and 984 is 8

Prime Factorization of 976


2 976
2 488
2 244
2 122
61 61
1

Prime factors of 976 are 2,61. Prime factorization of 976 in exponential form is:

976 = 24×611

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

∴ So by taking common prime factors GCF of 976 and 984 is 8

Greatest Common Factor of 976 and 984 by matching factors method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors and prime factorization of 976 and 984. The biggest common factor number is the GCF number.
So the greatest common factor 976 and 984 is 8.

Also check out the Least Common Multiple of 976 and 984

Properties of GCF 976 and 984

(i) The GCF of 976 and 984 is associative

GCF of 976 and 984 = GCF of 984 and 976

Related Greatest Common Factor of 976

Related Greatest Common Factor of 984

Frequently Asked Questions on GCF of 976 and 984

1. What is the GCF of 976 and 984?

Answer: GCF of 976 and 984 is 8.

2. What are the Factors of 976?

Answer: Factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976. There are 10 integers that are factors of 976. The greatest factor of 976 is 976.

3. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

4. How to Find the GCF of 976 and 984?

Answer:

Greatest Common Factor of 976 and 984 = 8

Step 1: Find the prime factorization of 976

976 = 2 x 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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 976 and 984 is 8