What is the Greatest Common Factor of 44172 and 44190?

Greatest common factor (GCF) of 44172 and 44190 is 18.

GCF(44172,44190) = 18

We will now calculate the prime factors of 44172 and 44190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 44172 and 44190.

How to find the GCF of 44172 and 44190?

We will first find the prime factorization of 44172 and 44190. After we will calculate the factors of 44172 and 44190 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 44190

Prime factors of 44190 are 2, 3, 5, 491. Prime factorization of 44190 in exponential form is:

44190 = 2¹ × 3² × 5¹ × 491¹

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 44190

List of positive integer factors of 44190 that divides 44172 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 491, 982, 1473, 2455, 2946, 4419, 4910, 7365, 8838, 14730, 22095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 44172 and 44190. The biggest common factor number is the GCF number.
So the greatest common factor 44172 and 44190 is 18.

Also check out the Least Common Multiple of 44172 and 44190