Greatest Common Factor of 987 and 994

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, 994 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 987 and 994 is 7.

GCF(987,994) = 7

GCF of 987 and 994

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

GCF of:
and

Greatest Common Factor of 987 and 994

GCF of 987 and 994 is 7

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 994


2 994
7 497
71 71
1

Prime factors of 994 are 2,7,71. Prime factorization of 994 in exponential form is:

994 = 21×71×711

∴ So by taking common prime factors GCF of 987 and 994 is 7

Greatest Common Factor of 987 and 994 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 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors and prime factorization of 987 and 994. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 994 is 7.

Also check out the Least Common Multiple of 987 and 994

Properties of GCF 987 and 994

(i) The GCF of 987 and 994 is associative

GCF of 987 and 994 = GCF of 994 and 987

Related Greatest Common Factor of 987

Related Greatest Common Factor of 994

Frequently Asked Questions on GCF of 987 and 994

1. What is the GCF of 987 and 994?

Answer: GCF of 987 and 994 is 7.

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 994?

Answer: Factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994. There are 8 integers that are factors of 994. The greatest factor of 994 is 994.

4. How to Find the GCF of 987 and 994?

Answer:

Greatest Common Factor of 987 and 994 = 7

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 994

994 = 2 x 7 x 71

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

GCF = 7

Step 4: Therefore, the greatest common factor of 987 and 994 is 7