What is the Greatest Common Factor of 44520 and 44528?

Greatest common factor (GCF) of 44520 and 44528 is 8.

GCF(44520,44528) = 8

We will now calculate the prime factors of 44520 and 44528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44520 and 44528.

How to find the GCF of 44520 and 44528?

We will first find the prime factorization of 44520 and 44528. After we will calculate the factors of 44520 and 44528 and find the biggest common factor number .

Step-1: Prime Factorization of 44520

Prime factors of 44520 are 2, 3, 5, 7, 53. Prime factorization of 44520 in exponential form is:

44520 = 2³ × 3¹ × 5¹ × 7¹ × 53¹

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 44520

List of positive integer factors of 44520 that divides 44520 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 53, 56, 60, 70, 84, 105, 106, 120, 140, 159, 168, 210, 212, 265, 280, 318, 371, 420, 424, 530, 636, 742, 795, 840, 1060, 1113, 1272, 1484, 1590, 1855, 2120, 2226, 2968, 3180, 3710, 4452, 5565, 6360, 7420, 8904, 11130, 14840, 22260

Step-4: Factors of 44528

List of positive integer factors of 44528 that divides 44520 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 44520 and 44528. The biggest common factor number is the GCF number.
So the greatest common factor 44520 and 44528 is 8.

Also check out the Least Common Multiple of 44520 and 44528