Greatest Common Factor of 105, 217

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 105, 217 i.e. 7 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 105, 217 is 7.

GCF(105, 217) = 7

GCF of 105, 217

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

GCF of:

Greatest Common Factor of 105,217

GCF of 105,217 is 7

7 105, 217
15, 31

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

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

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 217

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

1,7,31,217

Greatest Common Factor

We found the factors 105,217 . The biggest common factor number is the GCF number.
So the greatest common factor 105,217 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 105, 217

1. What is the GCF of 105, 217?

Answer: GCF of 105, 217 is 7.

2. How to Find the GCF of 105, 217

Answer: Greatest Common Factor(GCF) of 105, 217 = 7

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

Step 2: Then multiply all the prime factors GCF(105, 217) = 7.