Greatest Common Factor of 420, 3675

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 420, 3675 i.e. 105 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 420, 3675 is 105.

GCF(420, 3675) = 105

GCF of 420, 3675

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

GCF of:

Greatest Common Factor of 420,3675

GCF of 420,3675 is 105

3 420, 3675
5 140, 1225
7 28, 245
4, 35

∴ So the GCF of the given numbers is 3 x 5 x 7 = 105

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

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Greatest Common Factor

We found the factors 420,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 420,3675 is 105.

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 420, 3675

1. What is the GCF of 420, 3675?

Answer: GCF of 420, 3675 is 105.

2. How to Find the GCF of 420, 3675

Answer: Greatest Common Factor(GCF) of 420, 3675 = 105

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

Step 2: Then multiply all the prime factors GCF(420, 3675) = 105.