What is the Greatest Common Factor of 89100 and 89118?

Greatest common factor (GCF) of 89100 and 89118 is 18.

GCF(89100,89118) = 18

We will now calculate the prime factors of 89100 and 89118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89100 and 89118.

How to find the GCF of 89100 and 89118?

We will first find the prime factorization of 89100 and 89118. After we will calculate the factors of 89100 and 89118 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 89118

Prime factors of 89118 are 2, 3, 4951. Prime factorization of 89118 in exponential form is:

89118 = 2¹ × 3² × 4951¹

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 89118

List of positive integer factors of 89118 that divides 89100 without a remainder.

1, 2, 3, 6, 9, 18, 4951, 9902, 14853, 29706, 44559

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89100 and 89118. The biggest common factor number is the GCF number.
So the greatest common factor 89100 and 89118 is 18.

Also check out the Least Common Multiple of 89100 and 89118