Greatest Common Factor of 217, 735

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 217, 735 i.e. 7 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 217, 735 is 7.

GCF(217, 735) = 7

GCF of 217, 735

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

GCF of:

Greatest Common Factor of 217,735

GCF of 217,735 is 7

7 217, 735
31, 105

∴ So the GCF of the given numbers is 7 = 7

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

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 217,735 . The biggest common factor number is the GCF number.
So the greatest common factor 217,735 is 7.

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 217, 735

1. What is the GCF of 217, 735?

Answer: GCF of 217, 735 is 7.

2. How to Find the GCF of 217, 735

Answer: Greatest Common Factor(GCF) of 217, 735 = 7

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

Step 2: Then multiply all the prime factors GCF(217, 735) = 7.