Greatest Common Factor of 982 and 988

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 982, 988 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 982 and 988 is 2.

GCF(982,988) = 2

GCF of 982 and 988

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

GCF of:
and

Greatest Common Factor of 982 and 988

GCF of 982 and 988 is 2

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

Prime Factorization of 988


2 988
2 494
13 247
19 19
1

Prime factors of 988 are 2,13,19. Prime factorization of 988 in exponential form is:

988 = 22×131×191

∴ So by taking common prime factors GCF of 982 and 988 is 2

Greatest Common Factor of 982 and 988 by matching factors method

Factors of 982

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

1,2,491,982

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors and prime factorization of 982 and 988. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 988 is 2.

Also check out the Least Common Multiple of 982 and 988

Properties of GCF 982 and 988

(i) The GCF of 982 and 988 is associative

GCF of 982 and 988 = GCF of 988 and 982

Related Greatest Common Factor of 982

Related Greatest Common Factor of 988

Frequently Asked Questions on GCF of 982 and 988

1. What is the GCF of 982 and 988?

Answer: GCF of 982 and 988 is 2.

2. 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.

3. What are the Factors of 988?

Answer: Factors of 988 are 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988. There are 12 integers that are factors of 988. The greatest factor of 988 is 988.

4. How to Find the GCF of 982 and 988?

Answer:

Greatest Common Factor of 982 and 988 = 2

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

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 982 and 988 is 2