Greatest Common Factor of 987 and 990

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 987, 990 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 987 and 990 is 3.

GCF(987,990) = 3

GCF of 987 and 990

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

GCF of:
and

Greatest Common Factor of 987 and 990

GCF of 987 and 990 is 3

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

Prime Factorization of 990


2 990
3 495
3 165
5 55
11 11
1

Prime factors of 990 are 2,3,5,11. Prime factorization of 990 in exponential form is:

990 = 21×32×51×111

∴ So by taking common prime factors GCF of 987 and 990 is 3

Greatest Common Factor of 987 and 990 by matching factors method

Factors of 987

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

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

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors and prime factorization of 987 and 990. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 990 is 3.

Also check out the Least Common Multiple of 987 and 990

Properties of GCF 987 and 990

(i) The GCF of 987 and 990 is associative

GCF of 987 and 990 = GCF of 990 and 987

Related Greatest Common Factor of 987

Related Greatest Common Factor of 990

Frequently Asked Questions on GCF of 987 and 990

1. What is the GCF of 987 and 990?

Answer: GCF of 987 and 990 is 3.

2. 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.

3. What are the Factors of 990?

Answer: Factors of 990 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990. There are 24 integers that are factors of 990. The greatest factor of 990 is 990.

4. How to Find the GCF of 987 and 990?

Answer:

Greatest Common Factor of 987 and 990 = 3

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 990

990 = 2 x 3 x 3 x 5 x 11

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 987 and 990 is 3