Greatest Common Factor of 1600, 5664

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 1600, 5664 i.e. 32 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 1600, 5664 is 32.

GCF(1600, 5664) = 32

GCF of 1600, 5664

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

GCF of:

Greatest Common Factor of 1600,5664

GCF of 1600,5664 is 32

2 1600, 5664
2 800, 2832
2 400, 1416
2 200, 708
2 100, 354
50, 177

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

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

Factors of 1600

List of positive integer factors of 1600 that divides 1600 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,160,200,320,400,800,1600

Factors of 5664

List of positive integer factors of 5664 that divides 5664 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,59,96,118,177,236,354,472,708,944,1416,1888,2832,5664

Greatest Common Factor

We found the factors 1600,5664 . The biggest common factor number is the GCF number.
So the greatest common factor 1600,5664 is 32.

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 1600, 5664

1. What is the GCF of 1600, 5664?

Answer: GCF of 1600, 5664 is 32.

2. How to Find the GCF of 1600, 5664

Answer: Greatest Common Factor(GCF) of 1600, 5664 = 32

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

Step 2: Then multiply all the prime factors GCF(1600, 5664) = 32.