What is the Greatest Common Factor of 44524 and 44528?

Greatest common factor (GCF) of 44524 and 44528 is 4.

GCF(44524,44528) = 4

We will now calculate the prime factors of 44524 and 44528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44524 and 44528.

How to find the GCF of 44524 and 44528?

We will first find the prime factorization of 44524 and 44528. After we will calculate the factors of 44524 and 44528 and find the biggest common factor number .

Step-1: Prime Factorization of 44524

Prime factors of 44524 are 2, 11131. Prime factorization of 44524 in exponential form is:

44524 = 2² × 11131¹

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 44524

List of positive integer factors of 44524 that divides 44524 without a remainder.

1, 2, 4, 11131, 22262

Step-4: Factors of 44528

List of positive integer factors of 44528 that divides 44524 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 44524 and 44528. The biggest common factor number is the GCF number.
So the greatest common factor 44524 and 44528 is 4.

Also check out the Least Common Multiple of 44524 and 44528