Greatest Common Factor of 405, 705

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 405, 705 i.e. 15 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 405, 705 is 15.

GCF(405, 705) = 15

GCF of 405, 705

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

GCF of:

Greatest Common Factor of 405,705

GCF of 405,705 is 15

3 405, 705
5 135, 235
27, 47

∴ So the GCF of the given numbers is 3 x 5 = 15

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

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 405,705 . The biggest common factor number is the GCF number.
So the greatest common factor 405,705 is 15.

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 405, 705

1. What is the GCF of 405, 705?

Answer: GCF of 405, 705 is 15.

2. How to Find the GCF of 405, 705

Answer: Greatest Common Factor(GCF) of 405, 705 = 15

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

Step 2: Then multiply all the prime factors GCF(405, 705) = 15.