What is the Greatest Common Factor of 89100 and 89115?

Greatest common factor (GCF) of 89100 and 89115 is 15.

GCF(89100,89115) = 15

We will now calculate the prime factors of 89100 and 89115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89100 and 89115.

How to find the GCF of 89100 and 89115?

We will first find the prime factorization of 89100 and 89115. After we will calculate the factors of 89100 and 89115 and find the biggest common factor number .

Step-1: Prime Factorization of 89100

Prime factors of 89100 are 2, 3, 5, 11. Prime factorization of 89100 in exponential form is:

89100 = 2² × 3⁴ × 5² × 11¹

Step-2: Prime Factorization of 89115

Prime factors of 89115 are 3, 5, 13, 457. Prime factorization of 89115 in exponential form is:

89115 = 3¹ × 5¹ × 13¹ × 457¹

Step-3: Factors of 89100

List of positive integer factors of 89100 that divides 89100 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 15, 18, 20, 22, 25, 27, 30, 33, 36, 44, 45, 50, 54, 55, 60, 66, 75, 81, 90, 99, 100, 108, 110, 132, 135, 150, 162, 165, 180, 198, 220, 225, 270, 275, 297, 300, 324, 330, 396, 405, 450, 495, 540, 550, 594, 660, 675, 810, 825, 891, 900, 990, 1100, 1188, 1350, 1485, 1620, 1650, 1782, 1980, 2025, 2475, 2700, 2970, 3300, 3564, 4050, 4455, 4950, 5940, 7425, 8100, 8910, 9900, 14850, 17820, 22275, 29700, 44550

Step-4: Factors of 89115

List of positive integer factors of 89115 that divides 89100 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195, 457, 1371, 2285, 5941, 6855, 17823, 29705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89100 and 89115. The biggest common factor number is the GCF number.
So the greatest common factor 89100 and 89115 is 15.

Also check out the Least Common Multiple of 89100 and 89115