What is the Greatest Common Factor of 44130 and 44150?

Greatest common factor (GCF) of 44130 and 44150 is 10.

GCF(44130,44150) = 10

We will now calculate the prime factors of 44130 and 44150, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44130 and 44150.

How to find the GCF of 44130 and 44150?

We will first find the prime factorization of 44130 and 44150. After we will calculate the factors of 44130 and 44150 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 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 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 44150

List of positive integer factors of 44150 that divides 44130 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 44130 and 44150. The biggest common factor number is the GCF number.
So the greatest common factor 44130 and 44150 is 10.

Also check out the Least Common Multiple of 44130 and 44150