Greatest Common Factor of 982 and 986

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

Greatest common factor (GCF) of 982 and 986 is 2.

GCF(982,986) = 2

GCF of 982 and 986

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

GCF of:
and

Greatest Common Factor of 982 and 986

GCF of 982 and 986 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 986


2 986
17 493
29 29
1

Prime factors of 986 are 2,17,29. Prime factorization of 986 in exponential form is:

986 = 21×171×291

∴ So by taking common prime factors GCF of 982 and 986 is 2

Greatest Common Factor of 982 and 986 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 986

List of positive integer factors of 986 that divides 986 without a remainder.

1,2,17,29,34,58,493,986

Greatest Common Factor

We found the factors and prime factorization of 982 and 986. The biggest common factor number is the GCF number.
So the greatest common factor 982 and 986 is 2.

Also check out the Least Common Multiple of 982 and 986

Properties of GCF 982 and 986

(i) The GCF of 982 and 986 is associative

GCF of 982 and 986 = GCF of 986 and 982

Related Greatest Common Factor of 982

Related Greatest Common Factor of 986

Frequently Asked Questions on GCF of 982 and 986

1. What is the GCF of 982 and 986?

Answer: GCF of 982 and 986 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 986?

Answer: Factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986. There are 8 integers that are factors of 986. The greatest factor of 986 is 986.

4. How to Find the GCF of 982 and 986?

Answer:

Greatest Common Factor of 982 and 986 = 2

Step 1: Find the prime factorization of 982

982 = 2 x 491

Step 2: Find the prime factorization of 986

986 = 2 x 17 x 29

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 986 is 2