Greatest Common Factor of 252 and 256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 252, 256 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 252 and 256 is 4.

GCF(252,256) = 4

GCF of 252 and 256

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 252 and 256

GCF of 252 and 256 is 4

Prime Factorization of 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2,3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Prime Factorization of 256


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

Prime factors of 256 are 2. Prime factorization of 256 in exponential form is:

256 = 28

∴ So by taking common prime factors GCF of 252 and 256 is 4

Greatest Common Factor of 252 and 256 by matching factors method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

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

Greatest Common Factor

We found the factors and prime factorization of 252 and 256. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 256 is 4.

Also check out the Least Common Multiple of 252 and 256

Properties of GCF 252 and 256

(i) The GCF of 252 and 256 is associative

GCF of 252 and 256 = GCF of 256 and 252

Related Greatest Common Factor of 252

Related Greatest Common Factor of 256

Frequently Asked Questions on GCF of 252 and 256

1. What is the GCF of 252 and 256?

Answer: GCF of 252 and 256 is 4.

2. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

3. What are the Factors of 256?

Answer: Factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256. There are 9 integers that are factors of 256. The greatest factor of 256 is 256.

4. How to Find the GCF of 252 and 256?

Answer:

Greatest Common Factor of 252 and 256 = 4

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 256

256 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 252 and 256 is 4