What is the Greatest Common Factor of 89094 and 89100?

Greatest common factor (GCF) of 89094 and 89100 is 6.

GCF(89094,89100) = 6

We will now calculate the prime factors of 89094 and 89100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89094 and 89100.

How to find the GCF of 89094 and 89100?

We will first find the prime factorization of 89094 and 89100. After we will calculate the factors of 89094 and 89100 and find the biggest common factor number .

Step-1: Prime Factorization of 89094

Prime factors of 89094 are 2, 3, 31, 479. Prime factorization of 89094 in exponential form is:

89094 = 2¹ × 3¹ × 31¹ × 479¹

Step-2: 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-3: Factors of 89094

List of positive integer factors of 89094 that divides 89094 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 479, 958, 1437, 2874, 14849, 29698, 44547

Step-4: Factors of 89100

List of positive integer factors of 89100 that divides 89094 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89094 and 89100. The biggest common factor number is the GCF number.
So the greatest common factor 89094 and 89100 is 6.

Also check out the Least Common Multiple of 89094 and 89100