What is the Greatest Common Factor of 44125 and 44130?

Greatest common factor (GCF) of 44125 and 44130 is 5.

GCF(44125,44130) = 5

We will now calculate the prime factors of 44125 and 44130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44125 and 44130.

How to find the GCF of 44125 and 44130?

We will first find the prime factorization of 44125 and 44130. After we will calculate the factors of 44125 and 44130 and find the biggest common factor number .

Step-1: Prime Factorization of 44125

Prime factors of 44125 are 5, 353. Prime factorization of 44125 in exponential form is:

44125 = 5³ × 353¹

Step-2: 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-3: Factors of 44125

List of positive integer factors of 44125 that divides 44125 without a remainder.

1, 5, 25, 125, 353, 1765, 8825

Step-4: Factors of 44130

List of positive integer factors of 44130 that divides 44125 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44125 and 44130. The biggest common factor number is the GCF number.
So the greatest common factor 44125 and 44130 is 5.

Also check out the Least Common Multiple of 44125 and 44130