What is the Greatest Common Factor of 44512 and 44528?

Greatest common factor (GCF) of 44512 and 44528 is 16.

GCF(44512,44528) = 16

We will now calculate the prime factors of 44512 and 44528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44512 and 44528.

How to find the GCF of 44512 and 44528?

We will first find the prime factorization of 44512 and 44528. After we will calculate the factors of 44512 and 44528 and find the biggest common factor number .

Step-1: Prime Factorization of 44512

Prime factors of 44512 are 2, 13, 107. Prime factorization of 44512 in exponential form is:

44512 = 2⁵ × 13¹ × 107¹

Step-2: Prime Factorization of 44528

Prime factors of 44528 are 2, 11, 23. Prime factorization of 44528 in exponential form is:

44528 = 2⁴ × 11² × 23¹

Step-3: Factors of 44512

List of positive integer factors of 44512 that divides 44512 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 107, 208, 214, 416, 428, 856, 1391, 1712, 2782, 3424, 5564, 11128, 22256

Step-4: Factors of 44528

List of positive integer factors of 44528 that divides 44512 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 121, 176, 184, 242, 253, 368, 484, 506, 968, 1012, 1936, 2024, 2783, 4048, 5566, 11132, 22264

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44512 and 44528. The biggest common factor number is the GCF number.
So the greatest common factor 44512 and 44528 is 16.

Also check out the Least Common Multiple of 44512 and 44528