Greatest Common Factor of 742, 1414

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 742, 1414 i.e. 14 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 742, 1414 is 14.

GCF(742, 1414) = 14

GCF of 742, 1414

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

GCF of:

Greatest Common Factor of 742,1414

GCF of 742,1414 is 14

2 742, 1414
7 371, 707
53, 101

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

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

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 1414

List of positive integer factors of 1414 that divides 1414 without a remainder.

1,2,7,14,101,202,707,1414

Greatest Common Factor

We found the factors 742,1414 . The biggest common factor number is the GCF number.
So the greatest common factor 742,1414 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 742, 1414

1. What is the GCF of 742, 1414?

Answer: GCF of 742, 1414 is 14.

2. How to Find the GCF of 742, 1414

Answer: Greatest Common Factor(GCF) of 742, 1414 = 14

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

Step 2: Then multiply all the prime factors GCF(742, 1414) = 14.