Greatest Common Factor of 2004, 7314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 2004, 7314 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 2004, 7314 is 6.

GCF(2004, 7314) = 6

GCF of 2004, 7314

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

Greatest Common Factor of 2004,7314

GCF of 2004,7314 is 6

2 2004, 7314
3 1002, 3657
334, 1219

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 2004

List of positive integer factors of 2004 that divides 2004 without a remainder.

1,2,3,4,6,12,167,334,501,668,1002,2004

Factors of 7314

List of positive integer factors of 7314 that divides 7314 without a remainder.

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Greatest Common Factor

We found the factors 2004,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 2004,7314 is 6.

GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

Frequently Asked Questions on GCF of 2004, 7314

1. What is the GCF of 2004, 7314?

Answer: GCF of 2004, 7314 is 6.

2. How to Find the GCF of 2004, 7314

Answer: Greatest Common Factor(GCF) of 2004, 7314 = 6

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(2004, 7314) = 6.