What is the Greatest Common Factor of 44520 and 44535?

Greatest common factor (GCF) of 44520 and 44535 is 15.

GCF(44520,44535) = 15

We will now calculate the prime factors of 44520 and 44535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44520 and 44535.

How to find the GCF of 44520 and 44535?

We will first find the prime factorization of 44520 and 44535. After we will calculate the factors of 44520 and 44535 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 44535

Prime factors of 44535 are 3, 5, 2969. Prime factorization of 44535 in exponential form is:

44535 = 3¹ × 5¹ × 2969¹

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 44535

List of positive integer factors of 44535 that divides 44520 without a remainder.

1, 3, 5, 15, 2969, 8907, 14845

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44520 and 44535. The biggest common factor number is the GCF number.
So the greatest common factor 44520 and 44535 is 15.

Also check out the Least Common Multiple of 44520 and 44535