What is the Greatest Common Factor of 44172 and 44180?

Greatest common factor (GCF) of 44172 and 44180 is 4.

GCF(44172,44180) = 4

We will now calculate the prime factors of 44172 and 44180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44172 and 44180.

How to find the GCF of 44172 and 44180?

We will first find the prime factorization of 44172 and 44180. After we will calculate the factors of 44172 and 44180 and find the biggest common factor number .

Step-1: Prime Factorization of 44172

Prime factors of 44172 are 2, 3, 409. Prime factorization of 44172 in exponential form is:

44172 = 2² × 3³ × 409¹

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 44172

List of positive integer factors of 44172 that divides 44172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 409, 818, 1227, 1636, 2454, 3681, 4908, 7362, 11043, 14724, 22086

Step-4: Factors of 44180

List of positive integer factors of 44180 that divides 44172 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 44172 and 44180. The biggest common factor number is the GCF number.
So the greatest common factor 44172 and 44180 is 4.

Also check out the Least Common Multiple of 44172 and 44180