Greatest Common Factor of 2992 and 2998

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 2992, 2998 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2992 and 2998 is 2.

GCF(2992,2998) = 2

GCF of 2992 and 2998

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

GCF of:
and

Greatest Common Factor of 2992 and 2998

GCF of 2992 and 2998 is 2

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

Prime Factorization of 2998


2 2998
1499 1499
1

Prime factors of 2998 are 2,1499. Prime factorization of 2998 in exponential form is:

2998 = 21×14991

∴ So by taking common prime factors GCF of 2992 and 2998 is 2

Greatest Common Factor of 2992 and 2998 by matching factors method

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

Factors of 2998

List of positive integer factors of 2998 that divides 2998 without a remainder.

1,2,1499,2998

Greatest Common Factor

We found the factors and prime factorization of 2992 and 2998. The biggest common factor number is the GCF number.
So the greatest common factor 2992 and 2998 is 2.

Also check out the Least Common Multiple of 2992 and 2998

Properties of GCF 2992 and 2998

(i) The GCF of 2992 and 2998 is associative

GCF of 2992 and 2998 = GCF of 2998 and 2992

Related Greatest Common Factor of 2992

Related Greatest Common Factor of 2998

Frequently Asked Questions on GCF of 2992 and 2998

1. What is the GCF of 2992 and 2998?

Answer: GCF of 2992 and 2998 is 2.

2. 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.

3. What are the Factors of 2998?

Answer: Factors of 2998 are 1, 2, 1499, 2998. There are 4 integers that are factors of 2998. The greatest factor of 2998 is 2998.

4. How to Find the GCF of 2992 and 2998?

Answer:

Greatest Common Factor of 2992 and 2998 = 2

Step 1: Find the prime factorization of 2992

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

Step 2: Find the prime factorization of 2998

2998 = 2 x 1499

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 2992 and 2998 is 2