Greatest Common Factor of 2978 and 2986

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 2978, 2986 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2978 and 2986 is 2.

GCF(2978,2986) = 2

GCF of 2978 and 2986

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

GCF of:
and

Greatest Common Factor of 2978 and 2986

GCF of 2978 and 2986 is 2

Prime Factorization of 2978


2 2978
1489 1489
1

Prime factors of 2978 are 2,1489. Prime factorization of 2978 in exponential form is:

2978 = 21×14891

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

∴ So by taking common prime factors GCF of 2978 and 2986 is 2

Greatest Common Factor of 2978 and 2986 by matching factors method

Factors of 2978

List of positive integer factors of 2978 that divides 2978 without a remainder.

1,2,1489,2978

Factors of 2986

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

1,2,1493,2986

Greatest Common Factor

We found the factors and prime factorization of 2978 and 2986. The biggest common factor number is the GCF number.
So the greatest common factor 2978 and 2986 is 2.

Also check out the Least Common Multiple of 2978 and 2986

Properties of GCF 2978 and 2986

(i) The GCF of 2978 and 2986 is associative

GCF of 2978 and 2986 = GCF of 2986 and 2978

Related Greatest Common Factor of 2978

Related Greatest Common Factor of 2986

Frequently Asked Questions on GCF of 2978 and 2986

1. What is the GCF of 2978 and 2986?

Answer: GCF of 2978 and 2986 is 2.

2. What are the Factors of 2978?

Answer: Factors of 2978 are 1, 2, 1489, 2978. There are 4 integers that are factors of 2978. The greatest factor of 2978 is 2978.

3. 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.

4. How to Find the GCF of 2978 and 2986?

Answer:

Greatest Common Factor of 2978 and 2986 = 2

Step 1: Find the prime factorization of 2978

2978 = 2 x 1489

Step 2: Find the prime factorization of 2986

2986 = 2 x 1493

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

GCF = 2

Step 4: Therefore, the greatest common factor of 2978 and 2986 is 2