What is the Greatest Common Factor of 89160 and 89172?

Greatest common factor (GCF) of 89160 and 89172 is 12.

GCF(89160,89172) = 12

We will now calculate the prime factors of 89160 and 89172, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89160 and 89172.

How to find the GCF of 89160 and 89172?

We will first find the prime factorization of 89160 and 89172. After we will calculate the factors of 89160 and 89172 and find the biggest common factor number .

Step-1: Prime Factorization of 89160

Prime factors of 89160 are 2, 3, 5, 743. Prime factorization of 89160 in exponential form is:

89160 = 2³ × 3¹ × 5¹ × 743¹

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 89160

List of positive integer factors of 89160 that divides 89160 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 743, 1486, 2229, 2972, 3715, 4458, 5944, 7430, 8916, 11145, 14860, 17832, 22290, 29720, 44580

Step-4: Factors of 89172

List of positive integer factors of 89172 that divides 89160 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 89160 and 89172. The biggest common factor number is the GCF number.
So the greatest common factor 89160 and 89172 is 12.

Also check out the Least Common Multiple of 89160 and 89172