Greatest Common Factor of 987 and 993

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

Greatest common factor (GCF) of 987 and 993 is 3.

GCF(987,993) = 3

GCF of 987 and 993

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

GCF of:
and

Greatest Common Factor of 987 and 993

GCF of 987 and 993 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 993


3 993
331 331
1

Prime factors of 993 are 3,331. Prime factorization of 993 in exponential form is:

993 = 31×3311

∴ So by taking common prime factors GCF of 987 and 993 is 3

Greatest Common Factor of 987 and 993 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 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors and prime factorization of 987 and 993. The biggest common factor number is the GCF number.
So the greatest common factor 987 and 993 is 3.

Also check out the Least Common Multiple of 987 and 993

Properties of GCF 987 and 993

(i) The GCF of 987 and 993 is associative

GCF of 987 and 993 = GCF of 993 and 987

Related Greatest Common Factor of 987

Related Greatest Common Factor of 993

Frequently Asked Questions on GCF of 987 and 993

1. What is the GCF of 987 and 993?

Answer: GCF of 987 and 993 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 993?

Answer: Factors of 993 are 1, 3, 331, 993. There are 4 integers that are factors of 993. The greatest factor of 993 is 993.

4. How to Find the GCF of 987 and 993?

Answer:

Greatest Common Factor of 987 and 993 = 3

Step 1: Find the prime factorization of 987

987 = 3 x 7 x 47

Step 2: Find the prime factorization of 993

993 = 3 x 331

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 993 is 3