Greatest Common Factor of 986 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 986, 988 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 986 and 988 is 2.

GCF(986,988) = 2

GCF of 986 and 988

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

GCF of:
and

Greatest Common Factor of 986 and 988

GCF of 986 and 988 is 2

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

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 986 and 988 is 2

Greatest Common Factor of 986 and 988 by matching factors method

Factors of 986

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

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

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 986 and 988. The biggest common factor number is the GCF number.
So the greatest common factor 986 and 988 is 2.

Also check out the Least Common Multiple of 986 and 988

Properties of GCF 986 and 988

(i) The GCF of 986 and 988 is associative

GCF of 986 and 988 = GCF of 988 and 986

Related Greatest Common Factor of 986

Related Greatest Common Factor of 988

Frequently Asked Questions on GCF of 986 and 988

1. What is the GCF of 986 and 988?

Answer: GCF of 986 and 988 is 2.

2. 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.

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 986 and 988?

Answer:

Greatest Common Factor of 986 and 988 = 2

Step 1: Find the prime factorization of 986

986 = 2 x 17 x 29

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 986 and 988 is 2