What is the Greatest Common Factor of 44944 and 44960?

Greatest common factor (GCF) of 44944 and 44960 is 16.

GCF(44944,44960) = 16

We will now calculate the prime factors of 44944 and 44960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44944 and 44960.

How to find the GCF of 44944 and 44960?

We will first find the prime factorization of 44944 and 44960. After we will calculate the factors of 44944 and 44960 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 44960

Prime factors of 44960 are 2, 5, 281. Prime factorization of 44960 in exponential form is:

44960 = 2⁵ × 5¹ × 281¹

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 44960

List of positive integer factors of 44960 that divides 44944 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 281, 562, 1124, 1405, 2248, 2810, 4496, 5620, 8992, 11240, 22480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44944 and 44960. The biggest common factor number is the GCF number.
So the greatest common factor 44944 and 44960 is 16.

Also check out the Least Common Multiple of 44944 and 44960