Greatest Common Factor of 2004, 7014

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, 7014 i.e. 1002 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 2004, 7014 is 1002.

GCF(2004, 7014) = 1002

GCF of 2004, 7014

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

GCF of:

Greatest Common Factor of 2004,7014

GCF of 2004,7014 is 1002

2 2004, 7014
3 1002, 3507
167 334, 1169
2, 7

∴ So the GCF of the given numbers is 2 x 3 x 167 = 1002

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 7014

List of positive integer factors of 7014 that divides 7014 without a remainder.

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 2004,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 2004,7014 is 1002.

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, 7014

1. What is the GCF of 2004, 7014?

Answer: GCF of 2004, 7014 is 1002.

2. How to Find the GCF of 2004, 7014

Answer: Greatest Common Factor(GCF) of 2004, 7014 = 1002

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

Step 2: Then multiply all the prime factors GCF(2004, 7014) = 1002.