Greatest Common Factor of 3564, 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 3564, 7314 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 3564, 7314 is 6.

GCF(3564, 7314) = 6

GCF of 3564, 7314

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

GCF of:

Greatest Common Factor of 3564,7314

GCF of 3564,7314 is 6

2 3564, 7314
3 1782, 3657
594, 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 3564

List of positive integer factors of 3564 that divides 3564 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,132,162,198,297,324,396,594,891,1188,1782,3564

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 3564,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 3564,7314 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 3564, 7314

1. What is the GCF of 3564, 7314?

Answer: GCF of 3564, 7314 is 6.

2. How to Find the GCF of 3564, 7314

Answer: Greatest Common Factor(GCF) of 3564, 7314 = 6

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

Step 2: Then multiply all the prime factors GCF(3564, 7314) = 6.