Greatest Common Factor of 2989 and 2996

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 2989, 2996 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2989 and 2996 is 7.

GCF(2989,2996) = 7

GCF of 2989 and 2996

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

GCF of:
and

Greatest Common Factor of 2989 and 2996

GCF of 2989 and 2996 is 7

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

Prime Factorization of 2996


2 2996
2 1498
7 749
107 107
1

Prime factors of 2996 are 2,7,107. Prime factorization of 2996 in exponential form is:

2996 = 22×71×1071

∴ So by taking common prime factors GCF of 2989 and 2996 is 7

Greatest Common Factor of 2989 and 2996 by matching factors method

Factors of 2989

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

1,7,49,61,427,2989

Factors of 2996

List of positive integer factors of 2996 that divides 2996 without a remainder.

1,2,4,7,14,28,107,214,428,749,1498,2996

Greatest Common Factor

We found the factors and prime factorization of 2989 and 2996. The biggest common factor number is the GCF number.
So the greatest common factor 2989 and 2996 is 7.

Also check out the Least Common Multiple of 2989 and 2996

Properties of GCF 2989 and 2996

(i) The GCF of 2989 and 2996 is associative

GCF of 2989 and 2996 = GCF of 2996 and 2989

Related Greatest Common Factor of 2989

Related Greatest Common Factor of 2996

Frequently Asked Questions on GCF of 2989 and 2996

1. What is the GCF of 2989 and 2996?

Answer: GCF of 2989 and 2996 is 7.

2. 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.

3. What are the Factors of 2996?

Answer: Factors of 2996 are 1, 2, 4, 7, 14, 28, 107, 214, 428, 749, 1498, 2996. There are 12 integers that are factors of 2996. The greatest factor of 2996 is 2996.

4. How to Find the GCF of 2989 and 2996?

Answer:

Greatest Common Factor of 2989 and 2996 = 7

Step 1: Find the prime factorization of 2989

2989 = 7 x 7 x 61

Step 2: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

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 2989 and 2996 is 7