What is the Greatest Common Factor of 44120 and 44130?

Greatest common factor (GCF) of 44120 and 44130 is 10.

GCF(44120,44130) = 10

We will now calculate the prime factors of 44120 and 44130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44120 and 44130.

How to find the GCF of 44120 and 44130?

We will first find the prime factorization of 44120 and 44130. After we will calculate the factors of 44120 and 44130 and find the biggest common factor number .

Step-1: Prime Factorization of 44120

Prime factors of 44120 are 2, 5, 1103. Prime factorization of 44120 in exponential form is:

44120 = 2³ × 5¹ × 1103¹

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 44120

List of positive integer factors of 44120 that divides 44120 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1103, 2206, 4412, 5515, 8824, 11030, 22060

Step-4: Factors of 44130

List of positive integer factors of 44130 that divides 44120 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 44120 and 44130. The biggest common factor number is the GCF number.
So the greatest common factor 44120 and 44130 is 10.

Also check out the Least Common Multiple of 44120 and 44130