What is the Greatest Common Factor of 4437 and 4456?

Greatest common factor (GCF) of 4437 and 4456 is 1.

GCF(4437,4456) = 1

We will now calculate the prime factors of 4437 and 4456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4437 and 4456.

How to find the GCF of 4437 and 4456?

We will first find the prime factorization of 4437 and 4456. After we will calculate the factors of 4437 and 4456 and find the biggest common factor number .

Step-1: Prime Factorization of 4437

Prime factors of 4437 are 3, 17, 29. Prime factorization of 4437 in exponential form is:

4437 = 3² × 17¹ × 29¹

Step-2: Prime Factorization of 4456

Prime factors of 4456 are 2, 557. Prime factorization of 4456 in exponential form is:

4456 = 2³ × 557¹

Step-3: Factors of 4437

List of positive integer factors of 4437 that divides 4437 without a remainder.

1, 3, 9, 17, 29, 51, 87, 153, 261, 493, 1479

Step-4: Factors of 4456

List of positive integer factors of 4456 that divides 4437 without a remainder.

1, 2, 4, 8, 557, 1114, 2228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4437 and 4456. The biggest common factor number is the GCF number.
So the greatest common factor 4437 and 4456 is 1.

Also check out the Least Common Multiple of 4437 and 4456