Greatest Common Factor of 988 and 989

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 988, 989 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 988 and 989 is 1.

GCF(988,989) = 1

GCF of 988 and 989

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

GCF of:
and

Greatest Common Factor of 988 and 989

GCF of 988 and 989 is 1

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

Prime Factorization of 989


23 989
43 43
1

Prime factors of 989 are 23,43. Prime factorization of 989 in exponential form is:

989 = 231×431

∴ So by taking common prime factors GCF of 988 and 989 is 1

Greatest Common Factor of 988 and 989 by matching factors method

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

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors and prime factorization of 988 and 989. The biggest common factor number is the GCF number.
So the greatest common factor 988 and 989 is 1.

Also check out the Least Common Multiple of 988 and 989

Properties of GCF 988 and 989

(i) The GCF of 988 and 989 is associative

GCF of 988 and 989 = GCF of 989 and 988

Related Greatest Common Factor of 988

Related Greatest Common Factor of 989

Frequently Asked Questions on GCF of 988 and 989

1. What is the GCF of 988 and 989?

Answer: GCF of 988 and 989 is 1.

2. 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.

3. What are the Factors of 989?

Answer: Factors of 989 are 1, 23, 43, 989. There are 4 integers that are factors of 989. The greatest factor of 989 is 989.

4. How to Find the GCF of 988 and 989?

Answer:

Greatest Common Factor of 988 and 989 = 1

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 989

989 = 23 x 43

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 988 and 989 is 1