What is the Greatest Common Factor of 44412 and 44428?

Greatest common factor (GCF) of 44412 and 44428 is 4.

GCF(44412,44428) = 4

We will now calculate the prime factors of 44412 and 44428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44412 and 44428.

How to find the GCF of 44412 and 44428?

We will first find the prime factorization of 44412 and 44428. After we will calculate the factors of 44412 and 44428 and find the biggest common factor number .

Step-1: Prime Factorization of 44412

Prime factors of 44412 are 2, 3, 3701. Prime factorization of 44412 in exponential form is:

44412 = 2² × 3¹ × 3701¹

Step-2: Prime Factorization of 44428

Prime factors of 44428 are 2, 29, 383. Prime factorization of 44428 in exponential form is:

44428 = 2² × 29¹ × 383¹

Step-3: Factors of 44412

List of positive integer factors of 44412 that divides 44412 without a remainder.

1, 2, 3, 4, 6, 12, 3701, 7402, 11103, 14804, 22206

Step-4: Factors of 44428

List of positive integer factors of 44428 that divides 44412 without a remainder.

1, 2, 4, 29, 58, 116, 383, 766, 1532, 11107, 22214

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44412 and 44428. The biggest common factor number is the GCF number.
So the greatest common factor 44412 and 44428 is 4.

Also check out the Least Common Multiple of 44412 and 44428