Greatest Common Factor of 748, 1456

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 748, 1456 i.e. 4 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 748, 1456 is 4.

GCF(748, 1456) = 4

GCF of 748, 1456

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

GCF of:

Greatest Common Factor of 748,1456

GCF of 748,1456 is 4

2 748, 1456
2 374, 728
187, 364

∴ So the GCF of the given numbers is 2 x 2 = 4

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

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Greatest Common Factor

We found the factors 748,1456 . The biggest common factor number is the GCF number.
So the greatest common factor 748,1456 is 4.

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 748, 1456

1. What is the GCF of 748, 1456?

Answer: GCF of 748, 1456 is 4.

2. How to Find the GCF of 748, 1456

Answer: Greatest Common Factor(GCF) of 748, 1456 = 4

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

Step 2: Then multiply all the prime factors GCF(748, 1456) = 4.