Greatest Common Factor of 512, 256, 176

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 512, 256, 176 i.e. 16 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 512, 256, 176 is 16.

GCF(512, 256, 176) = 16

GCF of 512, 256, 176

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

GCF of:

Greatest Common Factor of 512,256,176

GCF of 512,256,176 is 16

2 512, 256, 176
2 256, 128, 88
2 64, 128, 44
2 32, 64, 22
16, 32, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

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

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Greatest Common Factor

We found the factors 512,256,176 . The biggest common factor number is the GCF number.
So the greatest common factor 512,256,176 is 16.

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 512, 256, 176

1. What is the GCF of 512, 256, 176?

Answer: GCF of 512, 256, 176 is 16.

2. How to Find the GCF of 512, 256, 176

Answer: Greatest Common Factor(GCF) of 512, 256, 176 = 16

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

Step 2: Then multiply all the prime factors GCF(512, 256, 176) = 16.