Greatest Common Factor of 462, 1974

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 462, 1974 i.e. 42 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 462, 1974 is 42.

GCF(462, 1974) = 42

GCF of 462, 1974

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

GCF of:

Greatest Common Factor of 462,1974

GCF of 462,1974 is 42

2 462, 1974
3 231, 987
7 77, 329
11, 47

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

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

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462

Factors of 1974

List of positive integer factors of 1974 that divides 1974 without a remainder.

1,2,3,6,7,14,21,42,47,94,141,282,329,658,987,1974

Greatest Common Factor

We found the factors 462,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 462,1974 is 42.

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 462, 1974

1. What is the GCF of 462, 1974?

Answer: GCF of 462, 1974 is 42.

2. How to Find the GCF of 462, 1974

Answer: Greatest Common Factor(GCF) of 462, 1974 = 42

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

Step 2: Then multiply all the prime factors GCF(462, 1974) = 42.