What is the Greatest Common Factor of 44170 and 44180?

Greatest common factor (GCF) of 44170 and 44180 is 10.

GCF(44170,44180) = 10

We will now calculate the prime factors of 44170 and 44180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44170 and 44180.

How to find the GCF of 44170 and 44180?

We will first find the prime factorization of 44170 and 44180. After we will calculate the factors of 44170 and 44180 and find the biggest common factor number .

Step-1: Prime Factorization of 44170

Prime factors of 44170 are 2, 5, 7, 631. Prime factorization of 44170 in exponential form is:

44170 = 2¹ × 5¹ × 7¹ × 631¹

Step-2: Prime Factorization of 44180

Prime factors of 44180 are 2, 5, 47. Prime factorization of 44180 in exponential form is:

44180 = 2² × 5¹ × 47²

Step-3: Factors of 44170

List of positive integer factors of 44170 that divides 44170 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 631, 1262, 3155, 4417, 6310, 8834, 22085

Step-4: Factors of 44180

List of positive integer factors of 44180 that divides 44170 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940, 2209, 4418, 8836, 11045, 22090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44170 and 44180. The biggest common factor number is the GCF number.
So the greatest common factor 44170 and 44180 is 10.

Also check out the Least Common Multiple of 44170 and 44180