Greatest Common Factor of 2982 and 2989

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 2982, 2989 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2982 and 2989 is 7.

GCF(2982,2989) = 7

GCF of 2982 and 2989

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

GCF of:
and

Greatest Common Factor of 2982 and 2989

GCF of 2982 and 2989 is 7

Prime Factorization of 2982


2 2982
3 1491
7 497
71 71
1

Prime factors of 2982 are 2,3,7,71. Prime factorization of 2982 in exponential form is:

2982 = 21×31×71×711

Prime Factorization of 2989


7 2989
7 427
61 61
1

Prime factors of 2989 are 7,61. Prime factorization of 2989 in exponential form is:

2989 = 72×611

∴ So by taking common prime factors GCF of 2982 and 2989 is 7

Greatest Common Factor of 2982 and 2989 by matching factors method

Factors of 2982

List of positive integer factors of 2982 that divides 2982 without a remainder.

1,2,3,6,7,14,21,42,71,142,213,426,497,994,1491,2982

Factors of 2989

List of positive integer factors of 2989 that divides 2989 without a remainder.

1,7,49,61,427,2989

Greatest Common Factor

We found the factors and prime factorization of 2982 and 2989. The biggest common factor number is the GCF number.
So the greatest common factor 2982 and 2989 is 7.

Also check out the Least Common Multiple of 2982 and 2989

Properties of GCF 2982 and 2989

(i) The GCF of 2982 and 2989 is associative

GCF of 2982 and 2989 = GCF of 2989 and 2982

Related Greatest Common Factor of 2982

Related Greatest Common Factor of 2989

Frequently Asked Questions on GCF of 2982 and 2989

1. What is the GCF of 2982 and 2989?

Answer: GCF of 2982 and 2989 is 7.

2. What are the Factors of 2982?

Answer: Factors of 2982 are 1, 2, 3, 6, 7, 14, 21, 42, 71, 142, 213, 426, 497, 994, 1491, 2982. There are 16 integers that are factors of 2982. The greatest factor of 2982 is 2982.

3. What are the Factors of 2989?

Answer: Factors of 2989 are 1, 7, 49, 61, 427, 2989. There are 6 integers that are factors of 2989. The greatest factor of 2989 is 2989.

4. How to Find the GCF of 2982 and 2989?

Answer:

Greatest Common Factor of 2982 and 2989 = 7

Step 1: Find the prime factorization of 2982

2982 = 2 x 3 x 7 x 71

Step 2: Find the prime factorization of 2989

2989 = 7 x 7 x 61

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2982 and 2989 is 7