What is the Greatest Common Factor of 44145 and 44150?

Greatest common factor (GCF) of 44145 and 44150 is 5.

GCF(44145,44150) = 5

We will now calculate the prime factors of 44145 and 44150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44145 and 44150.

How to find the GCF of 44145 and 44150?

We will first find the prime factorization of 44145 and 44150. After we will calculate the factors of 44145 and 44150 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 44150

Prime factors of 44150 are 2, 5, 883. Prime factorization of 44150 in exponential form is:

44150 = 2¹ × 5² × 883¹

Step-3: Factors of 44145

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

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

Step-4: Factors of 44150

List of positive integer factors of 44150 that divides 44145 without a remainder.

1, 2, 5, 10, 25, 50, 883, 1766, 4415, 8830, 22075

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44145 and 44150. The biggest common factor number is the GCF number.
So the greatest common factor 44145 and 44150 is 5.

Also check out the Least Common Multiple of 44145 and 44150