Greatest Common Factor of 1540, 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 1540, 1974 i.e. 14 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 1540, 1974 is 14.

GCF(1540, 1974) = 14

GCF of 1540, 1974

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

GCF of:

Greatest Common Factor of 1540,1974

GCF of 1540,1974 is 14

2 1540, 1974
7 770, 987
110, 141

∴ So the GCF of the given numbers is 2 x 7 = 14

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

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

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 1540,1974 . The biggest common factor number is the GCF number.
So the greatest common factor 1540,1974 is 14.

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 1540, 1974

1. What is the GCF of 1540, 1974?

Answer: GCF of 1540, 1974 is 14.

2. How to Find the GCF of 1540, 1974

Answer: Greatest Common Factor(GCF) of 1540, 1974 = 14

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

Step 2: Then multiply all the prime factors GCF(1540, 1974) = 14.