Greatest Common Factor of 464, 1972

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 464, 1972 i.e. 116 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 464, 1972 is 116.

GCF(464, 1972) = 116

GCF of 464, 1972

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

GCF of:

Greatest Common Factor of 464,1972

GCF of 464,1972 is 116

2 464, 1972
2 232, 986
29 116, 493
4, 17

∴ So the GCF of the given numbers is 2 x 2 x 29 = 116

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

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 1972

List of positive integer factors of 1972 that divides 1972 without a remainder.

1,2,4,17,29,34,58,68,116,493,986,1972

Greatest Common Factor

We found the factors 464,1972 . The biggest common factor number is the GCF number.
So the greatest common factor 464,1972 is 116.

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 464, 1972

1. What is the GCF of 464, 1972?

Answer: GCF of 464, 1972 is 116.

2. How to Find the GCF of 464, 1972

Answer: Greatest Common Factor(GCF) of 464, 1972 = 116

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

Step 2: Then multiply all the prime factors GCF(464, 1972) = 116.