Greatest Common Factor of 984 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 984, 987 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 984 and 987 is 3.

GCF(984,987) = 3

GCF of 984 and 987

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

GCF of:
and

Greatest Common Factor of 984 and 987

GCF of 984 and 987 is 3

Prime Factorization of 984


2 984
2 492
2 246
3 123
41 41
1

Prime factors of 984 are 2,3,41. Prime factorization of 984 in exponential form is:

984 = 23×31×411

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 984 and 987 is 3

Greatest Common Factor of 984 and 987 by matching factors method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

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 984 and 987. The biggest common factor number is the GCF number.
So the greatest common factor 984 and 987 is 3.

Also check out the Least Common Multiple of 984 and 987

Properties of GCF 984 and 987

(i) The GCF of 984 and 987 is associative

GCF of 984 and 987 = GCF of 987 and 984

Related Greatest Common Factor of 984

Related Greatest Common Factor of 987

Frequently Asked Questions on GCF of 984 and 987

1. What is the GCF of 984 and 987?

Answer: GCF of 984 and 987 is 3.

2. What are the Factors of 984?

Answer: Factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984. There are 16 integers that are factors of 984. The greatest factor of 984 is 984.

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 984 and 987?

Answer:

Greatest Common Factor of 984 and 987 = 3

Step 1: Find the prime factorization of 984

984 = 2 x 2 x 2 x 3 x 41

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 984 and 987 is 3