Greatest Common Factor of 988 and 995

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

Greatest common factor (GCF) of 988 and 995 is 1.

GCF(988,995) = 1

GCF of 988 and 995

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

GCF of:
and

Greatest Common Factor of 988 and 995

GCF of 988 and 995 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 995


5 995
199 199
1

Prime factors of 995 are 5,199. Prime factorization of 995 in exponential form is:

995 = 51×1991

∴ So by taking common prime factors GCF of 988 and 995 is 1

Greatest Common Factor of 988 and 995 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 995

List of positive integer factors of 995 that divides 995 without a remainder.

1,5,199,995

Greatest Common Factor

We found the factors and prime factorization of 988 and 995. The biggest common factor number is the GCF number.
So the greatest common factor 988 and 995 is 1.

Also check out the Least Common Multiple of 988 and 995

Properties of GCF 988 and 995

(i) The GCF of 988 and 995 is associative

GCF of 988 and 995 = GCF of 995 and 988

Frequently Asked Questions on GCF of 988 and 995

1. What is the GCF of 988 and 995?

Answer: GCF of 988 and 995 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 995?

Answer: Factors of 995 are 1, 5, 199, 995. There are 4 integers that are factors of 995. The greatest factor of 995 is 995.

4. How to Find the GCF of 988 and 995?

Answer:

Greatest Common Factor of 988 and 995 = 1

Step 1: Find the prime factorization of 988

988 = 2 x 2 x 13 x 19

Step 2: Find the prime factorization of 995

995 = 5 x 199

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 995 is 1