Greatest Common Factor of 7314, 2214

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 7314, 2214 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 7314, 2214 is 6.

GCF(7314, 2214) = 6

GCF of 7314, 2214

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

GCF of:

Greatest Common Factor of 7314,2214

GCF of 7314,2214 is 6

2 7314, 2214
3 3657, 1107
1219, 369

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

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

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

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 7314,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 7314,2214 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 7314, 2214

1. What is the GCF of 7314, 2214?

Answer: GCF of 7314, 2214 is 6.

2. How to Find the GCF of 7314, 2214

Answer: Greatest Common Factor(GCF) of 7314, 2214 = 6

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

Step 2: Then multiply all the prime factors GCF(7314, 2214) = 6.