Greatest Common Factor of 36, 66, 18, 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 36, 66, 18, 714 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 36, 66, 18, 714 is 6.

GCF(36, 66, 18, 714) = 6

GCF of 36, 66, 18, 714

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

GCF of:

Greatest Common Factor of 36,66,18,714

GCF of 36,66,18,714 is 6

2 36, 66, 18, 714
3 18, 33, 9, 357
6, 11, 3, 119

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

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

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

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 36,66,18,714 . The biggest common factor number is the GCF number.
So the greatest common factor 36,66,18,714 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 36, 66, 18, 714

1. What is the GCF of 36, 66, 18, 714?

Answer: GCF of 36, 66, 18, 714 is 6.

2. How to Find the GCF of 36, 66, 18, 714

Answer: Greatest Common Factor(GCF) of 36, 66, 18, 714 = 6

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

Step 2: Then multiply all the prime factors GCF(36, 66, 18, 714) = 6.