What is the Greatest Common Factor of 89172 and 89190?

Greatest common factor (GCF) of 89172 and 89190 is 18.

GCF(89172,89190) = 18

We will now calculate the prime factors of 89172 and 89190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89172 and 89190.

How to find the GCF of 89172 and 89190?

We will first find the prime factorization of 89172 and 89190. After we will calculate the factors of 89172 and 89190 and find the biggest common factor number .

Step-1: Prime Factorization of 89172

Prime factors of 89172 are 2, 3, 2477. Prime factorization of 89172 in exponential form is:

89172 = 2² × 3² × 2477¹

Step-2: Prime Factorization of 89190

Prime factors of 89190 are 2, 3, 5, 991. Prime factorization of 89190 in exponential form is:

89190 = 2¹ × 3² × 5¹ × 991¹

Step-3: Factors of 89172

List of positive integer factors of 89172 that divides 89172 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2477, 4954, 7431, 9908, 14862, 22293, 29724, 44586

Step-4: Factors of 89190

List of positive integer factors of 89190 that divides 89172 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 991, 1982, 2973, 4955, 5946, 8919, 9910, 14865, 17838, 29730, 44595

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89172 and 89190. The biggest common factor number is the GCF number.
So the greatest common factor 89172 and 89190 is 18.

Also check out the Least Common Multiple of 89172 and 89190