What is the Greatest Common Factor of 44520 and 44526?

Greatest common factor (GCF) of 44520 and 44526 is 6.

GCF(44520,44526) = 6

We will now calculate the prime factors of 44520 and 44526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44520 and 44526.

How to find the GCF of 44520 and 44526?

We will first find the prime factorization of 44520 and 44526. After we will calculate the factors of 44520 and 44526 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 44526

Prime factors of 44526 are 2, 3, 41, 181. Prime factorization of 44526 in exponential form is:

44526 = 2¹ × 3¹ × 41¹ × 181¹

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 44526

List of positive integer factors of 44526 that divides 44520 without a remainder.

1, 2, 3, 6, 41, 82, 123, 181, 246, 362, 543, 1086, 7421, 14842, 22263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44520 and 44526. The biggest common factor number is the GCF number.
So the greatest common factor 44520 and 44526 is 6.

Also check out the Least Common Multiple of 44520 and 44526