Greatest Common Factor of 2986 and 2987

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 2986, 2987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2986 and 2987 is 1.

GCF(2986,2987) = 1

GCF of 2986 and 2987

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

GCF of:
and

Greatest Common Factor of 2986 and 2987

GCF of 2986 and 2987 is 1

Prime Factorization of 2986


2 2986
1493 1493
1

Prime factors of 2986 are 2,1493. Prime factorization of 2986 in exponential form is:

2986 = 21×14931

Prime Factorization of 2987


29 2987
103 103
1

Prime factors of 2987 are 29,103. Prime factorization of 2987 in exponential form is:

2987 = 291×1031

∴ So by taking common prime factors GCF of 2986 and 2987 is 1

Greatest Common Factor of 2986 and 2987 by matching factors method

Factors of 2986

List of positive integer factors of 2986 that divides 2986 without a remainder.

1,2,1493,2986

Factors of 2987

List of positive integer factors of 2987 that divides 2987 without a remainder.

1,29,103,2987

Greatest Common Factor

We found the factors and prime factorization of 2986 and 2987. The biggest common factor number is the GCF number.
So the greatest common factor 2986 and 2987 is 1.

Also check out the Least Common Multiple of 2986 and 2987

Properties of GCF 2986 and 2987

(i) The GCF of 2986 and 2987 is associative

GCF of 2986 and 2987 = GCF of 2987 and 2986

Related Greatest Common Factor of 2986

Related Greatest Common Factor of 2987

Frequently Asked Questions on GCF of 2986 and 2987

1. What is the GCF of 2986 and 2987?

Answer: GCF of 2986 and 2987 is 1.

2. What are the Factors of 2986?

Answer: Factors of 2986 are 1, 2, 1493, 2986. There are 4 integers that are factors of 2986. The greatest factor of 2986 is 2986.

3. What are the Factors of 2987?

Answer: Factors of 2987 are 1, 29, 103, 2987. There are 4 integers that are factors of 2987. The greatest factor of 2987 is 2987.

4. How to Find the GCF of 2986 and 2987?

Answer:

Greatest Common Factor of 2986 and 2987 = 1

Step 1: Find the prime factorization of 2986

2986 = 2 x 1493

Step 2: Find the prime factorization of 2987

2987 = 29 x 103

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 2986 and 2987 is 1