Greatest Common Factor of 2996 and 3004

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 2996, 3004 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2996 and 3004 is 4.

GCF(2996,3004) = 4

GCF of 2996 and 3004

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

GCF of:
and

Greatest Common Factor of 2996 and 3004

GCF of 2996 and 3004 is 4

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

Prime Factorization of 3004


2 3004
2 1502
751 751
1

Prime factors of 3004 are 2,751. Prime factorization of 3004 in exponential form is:

3004 = 22×7511

∴ So by taking common prime factors GCF of 2996 and 3004 is 4

Greatest Common Factor of 2996 and 3004 by matching factors method

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

Factors of 3004

List of positive integer factors of 3004 that divides 3004 without a remainder.

1,2,4,751,1502,3004

Greatest Common Factor

We found the factors and prime factorization of 2996 and 3004. The biggest common factor number is the GCF number.
So the greatest common factor 2996 and 3004 is 4.

Also check out the Least Common Multiple of 2996 and 3004

Properties of GCF 2996 and 3004

(i) The GCF of 2996 and 3004 is associative

GCF of 2996 and 3004 = GCF of 3004 and 2996

Related Greatest Common Factor of 2996

Related Greatest Common Factor of 3004

Frequently Asked Questions on GCF of 2996 and 3004

1. What is the GCF of 2996 and 3004?

Answer: GCF of 2996 and 3004 is 4.

2. 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.

3. What are the Factors of 3004?

Answer: Factors of 3004 are 1, 2, 4, 751, 1502, 3004. There are 6 integers that are factors of 3004. The greatest factor of 3004 is 3004.

4. How to Find the GCF of 2996 and 3004?

Answer:

Greatest Common Factor of 2996 and 3004 = 4

Step 1: Find the prime factorization of 2996

2996 = 2 x 2 x 7 x 107

Step 2: Find the prime factorization of 3004

3004 = 2 x 2 x 751

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 2996 and 3004 is 4