Greatest Common Factor of 981 and 987

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 981, 987 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 981 and 987 is 3.

GCF(981,987) = 3

GCF of 981 and 987

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

GCF of:
and

Greatest Common Factor of 981 and 987

GCF of 981 and 987 is 3

Prime Factorization of 981


3 981
3 327
109 109
1

Prime factors of 981 are 3,109. Prime factorization of 981 in exponential form is:

981 = 32×1091

Prime Factorization of 987


3 987
7 329
47 47
1

Prime factors of 987 are 3,7,47. Prime factorization of 987 in exponential form is:

987 = 31×71×471

∴ So by taking common prime factors GCF of 981 and 987 is 3

Greatest Common Factor of 981 and 987 by matching factors method

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors and prime factorization of 981 and 987. The biggest common factor number is the GCF number.
So the greatest common factor 981 and 987 is 3.

Also check out the Least Common Multiple of 981 and 987

Properties of GCF 981 and 987

(i) The GCF of 981 and 987 is associative

GCF of 981 and 987 = GCF of 987 and 981

Related Greatest Common Factor of 981

Related Greatest Common Factor of 987

Frequently Asked Questions on GCF of 981 and 987

1. What is the GCF of 981 and 987?

Answer: GCF of 981 and 987 is 3.

2. What are the Factors of 981?

Answer: Factors of 981 are 1, 3, 9, 109, 327, 981. There are 6 integers that are factors of 981. The greatest factor of 981 is 981.

3. What are the Factors of 987?

Answer: Factors of 987 are 1, 3, 7, 21, 47, 141, 329, 987. There are 8 integers that are factors of 987. The greatest factor of 987 is 987.

4. How to Find the GCF of 981 and 987?

Answer:

Greatest Common Factor of 981 and 987 = 3

Step 1: Find the prime factorization of 981

981 = 3 x 3 x 109

Step 2: Find the prime factorization of 987

987 = 3 x 7 x 47

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

GCF = 3

Step 4: Therefore, the greatest common factor of 981 and 987 is 3