Greatest Common Factor of 2986 and 2990

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, 2990 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2986 and 2990 is 2.

GCF(2986,2990) = 2

GCF of 2986 and 2990

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

GCF of:
and

Greatest Common Factor of 2986 and 2990

GCF of 2986 and 2990 is 2

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 2990


2 2990
5 1495
13 299
23 23
1

Prime factors of 2990 are 2,5,13,23. Prime factorization of 2990 in exponential form is:

2990 = 21×51×131×231

∴ So by taking common prime factors GCF of 2986 and 2990 is 2

Greatest Common Factor of 2986 and 2990 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 2990

List of positive integer factors of 2990 that divides 2990 without a remainder.

1,2,5,10,13,23,26,46,65,115,130,230,299,598,1495,2990

Greatest Common Factor

We found the factors and prime factorization of 2986 and 2990. The biggest common factor number is the GCF number.
So the greatest common factor 2986 and 2990 is 2.

Also check out the Least Common Multiple of 2986 and 2990

Properties of GCF 2986 and 2990

(i) The GCF of 2986 and 2990 is associative

GCF of 2986 and 2990 = GCF of 2990 and 2986

Related Greatest Common Factor of 2986

Related Greatest Common Factor of 2990

Frequently Asked Questions on GCF of 2986 and 2990

1. What is the GCF of 2986 and 2990?

Answer: GCF of 2986 and 2990 is 2.

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 2990?

Answer: Factors of 2990 are 1, 2, 5, 10, 13, 23, 26, 46, 65, 115, 130, 230, 299, 598, 1495, 2990. There are 16 integers that are factors of 2990. The greatest factor of 2990 is 2990.

4. How to Find the GCF of 2986 and 2990?

Answer:

Greatest Common Factor of 2986 and 2990 = 2

Step 1: Find the prime factorization of 2986

2986 = 2 x 1493

Step 2: Find the prime factorization of 2990

2990 = 2 x 5 x 13 x 23

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 2986 and 2990 is 2