What is the Greatest Common Factor of 444 and 456?

Greatest common factor (GCF) of 444 and 456 is 12.

GCF(444,456) = 12

We will now calculate the prime factors of 444 and 456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 444 and 456.

How to find the GCF of 444 and 456?

We will first find the prime factorization of 444 and 456. After we will calculate the factors of 444 and 456 and find the biggest common factor number .

Step-1: Prime Factorization of 444

Prime factors of 444 are 2, 3, 37. Prime factorization of 444 in exponential form is:

444 = 2² × 3¹ × 37¹

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 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222

Step-4: Factors of 456

List of positive integer factors of 456 that divides 444 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 444 and 456. The biggest common factor number is the GCF number.
So the greatest common factor 444 and 456 is 12.

Also check out the Least Common Multiple of 444 and 456