Greatest Common Factor of 456 and 459

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 456, 459 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 456 and 459 is 3.

GCF(456,459) = 3

GCF of 456 and 459

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

GCF of:
and

Greatest Common Factor of 456 and 459

GCF of 456 and 459 is 3

Prime Factorization of 456


2 456
2 228
2 114
3 57
19 19
1

Prime factors of 456 are 2,3,19. Prime factorization of 456 in exponential form is:

456 = 23×31×191

Prime Factorization of 459


3 459
3 153
3 51
17 17
1

Prime factors of 459 are 3,17. Prime factorization of 459 in exponential form is:

459 = 33×171

∴ So by taking common prime factors GCF of 456 and 459 is 3

Greatest Common Factor of 456 and 459 by matching factors method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors and prime factorization of 456 and 459. The biggest common factor number is the GCF number.
So the greatest common factor 456 and 459 is 3.

Also check out the Least Common Multiple of 456 and 459

Properties of GCF 456 and 459

(i) The GCF of 456 and 459 is associative

GCF of 456 and 459 = GCF of 459 and 456

Related Greatest Common Factor of 456

Related Greatest Common Factor of 459

Frequently Asked Questions on GCF of 456 and 459

1. What is the GCF of 456 and 459?

Answer: GCF of 456 and 459 is 3.

2. What are the Factors of 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

3. What are the Factors of 459?

Answer: Factors of 459 are 1, 3, 9, 17, 27, 51, 153, 459. There are 8 integers that are factors of 459. The greatest factor of 459 is 459.

4. How to Find the GCF of 456 and 459?

Answer:

Greatest Common Factor of 456 and 459 = 3

Step 1: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 459

459 = 3 x 3 x 3 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 456 and 459 is 3