Greatest Common Factor of 828, 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 828, 7314 i.e. 138 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 828, 7314 is 138.

GCF(828, 7314) = 138

GCF of 828, 7314

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

GCF of:

Greatest Common Factor of 828,7314

GCF of 828,7314 is 138

2 828, 7314
3 414, 3657
23 138, 1219
6, 53

∴ So the GCF of the given numbers is 2 x 3 x 23 = 138

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

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

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 828,7314 . The biggest common factor number is the GCF number.
So the greatest common factor 828,7314 is 138.

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 828, 7314

1. What is the GCF of 828, 7314?

Answer: GCF of 828, 7314 is 138.

2. How to Find the GCF of 828, 7314

Answer: Greatest Common Factor(GCF) of 828, 7314 = 138

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

Step 2: Then multiply all the prime factors GCF(828, 7314) = 138.