What is the Greatest Common Factor of 451 and 456?

Greatest common factor (GCF) of 451 and 456 is 1.

GCF(451,456) = 1

We will now calculate the prime factors of 451 and 456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 451 and 456.

How to find the GCF of 451 and 456?

We will first find the prime factorization of 451 and 456. After we will calculate the factors of 451 and 456 and find the biggest common factor number .

Step-1: Prime Factorization of 451

Prime factors of 451 are 11, 41. Prime factorization of 451 in exponential form is:

451 = 11¹ × 41¹

Step-2: Prime Factorization of 456

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

456 = 2³ × 3¹ × 19¹

Step-3: Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1, 11, 41

Step-4: Factors of 456

List of positive integer factors of 456 that divides 451 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 451 and 456. The biggest common factor number is the GCF number.
So the greatest common factor 451 and 456 is 1.

Also check out the Least Common Multiple of 451 and 456