What is the Greatest Common Factor of 44944 and 44964?

Greatest common factor (GCF) of 44944 and 44964 is 4.

GCF(44944,44964) = 4

We will now calculate the prime factors of 44944 and 44964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44944 and 44964.

How to find the GCF of 44944 and 44964?

We will first find the prime factorization of 44944 and 44964. After we will calculate the factors of 44944 and 44964 and find the biggest common factor number .

Step-1: Prime Factorization of 44944

Prime factors of 44944 are 2, 53. Prime factorization of 44944 in exponential form is:

44944 = 2⁴ × 53²

Step-2: Prime Factorization of 44964

Prime factors of 44964 are 2, 3, 1249. Prime factorization of 44964 in exponential form is:

44964 = 2² × 3² × 1249¹

Step-3: Factors of 44944

List of positive integer factors of 44944 that divides 44944 without a remainder.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848, 2809, 5618, 11236, 22472

Step-4: Factors of 44964

List of positive integer factors of 44964 that divides 44944 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1249, 2498, 3747, 4996, 7494, 11241, 14988, 22482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44944 and 44964. The biggest common factor number is the GCF number.
So the greatest common factor 44944 and 44964 is 4.

Also check out the Least Common Multiple of 44944 and 44964