What is the Greatest Common Factor of 44130 and 44145?

Greatest common factor (GCF) of 44130 and 44145 is 15.

GCF(44130,44145) = 15

We will now calculate the prime factors of 44130 and 44145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44130 and 44145.

How to find the GCF of 44130 and 44145?

We will first find the prime factorization of 44130 and 44145. After we will calculate the factors of 44130 and 44145 and find the biggest common factor number .

Step-1: Prime Factorization of 44130

Prime factors of 44130 are 2, 3, 5, 1471. Prime factorization of 44130 in exponential form is:

44130 = 2¹ × 3¹ × 5¹ × 1471¹

Step-2: Prime Factorization of 44145

Prime factors of 44145 are 3, 5, 109. Prime factorization of 44145 in exponential form is:

44145 = 3⁴ × 5¹ × 109¹

Step-3: Factors of 44130

List of positive integer factors of 44130 that divides 44130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1471, 2942, 4413, 7355, 8826, 14710, 22065

Step-4: Factors of 44145

List of positive integer factors of 44145 that divides 44130 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 109, 135, 327, 405, 545, 981, 1635, 2943, 4905, 8829, 14715

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44130 and 44145. The biggest common factor number is the GCF number.
So the greatest common factor 44130 and 44145 is 15.

Also check out the Least Common Multiple of 44130 and 44145