Greatest Common Factor of 252, 714

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 252, 714 i.e. 42 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 252, 714 is 42.

GCF(252, 714) = 42

GCF of 252, 714

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

GCF of:

Greatest Common Factor of 252,714

GCF of 252,714 is 42

2 252, 714
3 126, 357
7 42, 119
6, 17

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

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

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

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

Greatest Common Factor

We found the factors 252,714 . The biggest common factor number is the GCF number.
So the greatest common factor 252,714 is 42.

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 252, 714

1. What is the GCF of 252, 714?

Answer: GCF of 252, 714 is 42.

2. How to Find the GCF of 252, 714

Answer: Greatest Common Factor(GCF) of 252, 714 = 42

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

Step 2: Then multiply all the prime factors GCF(252, 714) = 42.