Greatest Common Factor of 105, 63

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, 63 i.e. 21 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 105, 63 is 21.

GCF(105, 63) = 21

GCF of 105, 63

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

GCF of:

Greatest Common Factor of 105,63

GCF of 105,63 is 21

3 105, 63
7 35, 21
5, 3

∴ So the GCF of the given numbers is 3 x 7 = 21

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 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 105,63 . The biggest common factor number is the GCF number.
So the greatest common factor 105,63 is 21.

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, 63

1. What is the GCF of 105, 63?

Answer: GCF of 105, 63 is 21.

2. How to Find the GCF of 105, 63

Answer: Greatest Common Factor(GCF) of 105, 63 = 21

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

Step 2: Then multiply all the prime factors GCF(105, 63) = 21.