Greatest Common Factor of 360, 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 360, 414 i.e. 18 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 360, 414 is 18.

GCF(360, 414) = 18

GCF of 360, 414

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

GCF of:

Greatest Common Factor of 360,414

GCF of 360,414 is 18

2 360, 414
3 180, 207
3 60, 69
20, 23

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

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

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

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 360,414 . The biggest common factor number is the GCF number.
So the greatest common factor 360,414 is 18.

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 360, 414

1. What is the GCF of 360, 414?

Answer: GCF of 360, 414 is 18.

2. How to Find the GCF of 360, 414

Answer: Greatest Common Factor(GCF) of 360, 414 = 18

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

Step 2: Then multiply all the prime factors GCF(360, 414) = 18.