What is the Greatest Common Factor of 44424 and 44428?

Greatest common factor (GCF) of 44424 and 44428 is 4.

GCF(44424,44428) = 4

We will now calculate the prime factors of 44424 and 44428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44424 and 44428.

How to find the GCF of 44424 and 44428?

We will first find the prime factorization of 44424 and 44428. After we will calculate the factors of 44424 and 44428 and find the biggest common factor number .

Step-1: Prime Factorization of 44424

Prime factors of 44424 are 2, 3, 617. Prime factorization of 44424 in exponential form is:

44424 = 2³ × 3² × 617¹

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 44424

List of positive integer factors of 44424 that divides 44424 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 617, 1234, 1851, 2468, 3702, 4936, 5553, 7404, 11106, 14808, 22212

Step-4: Factors of 44428

List of positive integer factors of 44428 that divides 44424 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 44424 and 44428. The biggest common factor number is the GCF number.
So the greatest common factor 44424 and 44428 is 4.

Also check out the Least Common Multiple of 44424 and 44428