Greatest Common Factor of 456 and 457

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, 457 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 456 and 457 is 1.

GCF(456,457) = 1

GCF of 456 and 457

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

GCF of:
and

Greatest Common Factor of 456 and 457

GCF of 456 and 457 is 1

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 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

∴ So by taking common prime factors GCF of 456 and 457 is 1

Greatest Common Factor of 456 and 457 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 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors and prime factorization of 456 and 457. The biggest common factor number is the GCF number.
So the greatest common factor 456 and 457 is 1.

Also check out the Least Common Multiple of 456 and 457

Properties of GCF 456 and 457

(i) The GCF of 456 and 457 is associative

GCF of 456 and 457 = GCF of 457 and 456

Related Greatest Common Factor of 456

Related Greatest Common Factor of 457

Frequently Asked Questions on GCF of 456 and 457

1. What is the GCF of 456 and 457?

Answer: GCF of 456 and 457 is 1.

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 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

4. How to Find the GCF of 456 and 457?

Answer:

Greatest Common Factor of 456 and 457 = 1

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 457

457 = 457

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 456 and 457 is 1