Greatest Common Factor of 714, 4004

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 714, 4004 i.e. 14 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 714, 4004 is 14.

GCF(714, 4004) = 14

GCF of 714, 4004

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

GCF of:

Greatest Common Factor of 714,4004

GCF of 714,4004 is 14

2 714, 4004
7 357, 2002
51, 286

∴ So the GCF of the given numbers is 2 x 7 = 14

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

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 4004

List of positive integer factors of 4004 that divides 4004 without a remainder.

1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004

Greatest Common Factor

We found the factors 714,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 714,4004 is 14.

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 714, 4004

1. What is the GCF of 714, 4004?

Answer: GCF of 714, 4004 is 14.

2. How to Find the GCF of 714, 4004

Answer: Greatest Common Factor(GCF) of 714, 4004 = 14

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

Step 2: Then multiply all the prime factors GCF(714, 4004) = 14.