Greatest Common Factor of 564, 414

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 564, 414 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 564, 414 is 6.

GCF(564, 414) = 6

GCF of 564, 414

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

GCF of:

Greatest Common Factor of 564,414

GCF of 564,414 is 6

2 564, 414
3 282, 207
94, 69

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

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

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 564,414 . The biggest common factor number is the GCF number.
So the greatest common factor 564,414 is 6.

GCF of two or more Numbers Calculation Examples

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Frequently Asked Questions on GCF of 564, 414

1. What is the GCF of 564, 414?

Answer: GCF of 564, 414 is 6.

2. How to Find the GCF of 564, 414

Answer: Greatest Common Factor(GCF) of 564, 414 = 6

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

Step 2: Then multiply all the prime factors GCF(564, 414) = 6.