Greatest Common Factor of 976 and 982

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, 982 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 976 and 982 is 2.

GCF(976,982) = 2

GCF of 976 and 982

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

GCF of:
and

Greatest Common Factor of 976 and 982

GCF of 976 and 982 is 2

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 982


2 982
491 491
1

Prime factors of 982 are 2,491. Prime factorization of 982 in exponential form is:

982 = 21×4911

∴ So by taking common prime factors GCF of 976 and 982 is 2

Greatest Common Factor of 976 and 982 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 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors and prime factorization of 976 and 982. The biggest common factor number is the GCF number.
So the greatest common factor 976 and 982 is 2.

Also check out the Least Common Multiple of 976 and 982

Properties of GCF 976 and 982

(i) The GCF of 976 and 982 is associative

GCF of 976 and 982 = GCF of 982 and 976

Related Greatest Common Factor of 976

Related Greatest Common Factor of 982

Frequently Asked Questions on GCF of 976 and 982

1. What is the GCF of 976 and 982?

Answer: GCF of 976 and 982 is 2.

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 982?

Answer: Factors of 982 are 1, 2, 491, 982. There are 4 integers that are factors of 982. The greatest factor of 982 is 982.

4. How to Find the GCF of 976 and 982?

Answer:

Greatest Common Factor of 976 and 982 = 2

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 982

982 = 2 x 491

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 976 and 982 is 2