What is the Greatest Common Factor of 89154 and 89172?

Greatest common factor (GCF) of 89154 and 89172 is 18.

GCF(89154,89172) = 18

We will now calculate the prime factors of 89154 and 89172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89154 and 89172.

How to find the GCF of 89154 and 89172?

We will first find the prime factorization of 89154 and 89172. After we will calculate the factors of 89154 and 89172 and find the biggest common factor number .

Step-1: Prime Factorization of 89154

Prime factors of 89154 are 2, 3, 13, 127. Prime factorization of 89154 in exponential form is:

89154 = 2¹ × 3³ × 13¹ × 127¹

Step-2: 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-3: Factors of 89154

List of positive integer factors of 89154 that divides 89154 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 127, 234, 254, 351, 381, 702, 762, 1143, 1651, 2286, 3302, 3429, 4953, 6858, 9906, 14859, 29718, 44577

Step-4: Factors of 89172

List of positive integer factors of 89172 that divides 89154 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89154 and 89172. The biggest common factor number is the GCF number.
So the greatest common factor 89154 and 89172 is 18.

Also check out the Least Common Multiple of 89154 and 89172