Greatest Common Factor of 2990 and 2992

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 2990, 2992 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2990 and 2992 is 2.

GCF(2990,2992) = 2

GCF of 2990 and 2992

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

GCF of:
and

Greatest Common Factor of 2990 and 2992

GCF of 2990 and 2992 is 2

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

Prime Factorization of 2992


2 2992
2 1496
2 748
2 374
11 187
17 17
1

Prime factors of 2992 are 2,11,17. Prime factorization of 2992 in exponential form is:

2992 = 24×111×171

∴ So by taking common prime factors GCF of 2990 and 2992 is 2

Greatest Common Factor of 2990 and 2992 by matching factors method

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

Factors of 2992

List of positive integer factors of 2992 that divides 2992 without a remainder.

1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992

Greatest Common Factor

We found the factors and prime factorization of 2990 and 2992. The biggest common factor number is the GCF number.
So the greatest common factor 2990 and 2992 is 2.

Also check out the Least Common Multiple of 2990 and 2992

Properties of GCF 2990 and 2992

(i) The GCF of 2990 and 2992 is associative

GCF of 2990 and 2992 = GCF of 2992 and 2990

Related Greatest Common Factor of 2990

Related Greatest Common Factor of 2992

Frequently Asked Questions on GCF of 2990 and 2992

1. What is the GCF of 2990 and 2992?

Answer: GCF of 2990 and 2992 is 2.

2. 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.

3. What are the Factors of 2992?

Answer: Factors of 2992 are 1, 2, 4, 8, 11, 16, 17, 22, 34, 44, 68, 88, 136, 176, 187, 272, 374, 748, 1496, 2992. There are 20 integers that are factors of 2992. The greatest factor of 2992 is 2992.

4. How to Find the GCF of 2990 and 2992?

Answer:

Greatest Common Factor of 2990 and 2992 = 2

Step 1: Find the prime factorization of 2990

2990 = 2 x 5 x 13 x 23

Step 2: Find the prime factorization of 2992

2992 = 2 x 2 x 2 x 2 x 11 x 17

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 2990 and 2992 is 2