What is the Greatest Common Factor of 89100 and 89117?

Greatest common factor (GCF) of 89100 and 89117 is 1.

GCF(89100,89117) = 1

We will now calculate the prime factors of 89100 and 89117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89100 and 89117.

How to find the GCF of 89100 and 89117?

We will first find the prime factorization of 89100 and 89117. After we will calculate the factors of 89100 and 89117 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 89117

Prime factors of 89117 are 7, 29, 439. Prime factorization of 89117 in exponential form is:

89117 = 7¹ × 29¹ × 439¹

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 89117

List of positive integer factors of 89117 that divides 89100 without a remainder.

1, 7, 29, 203, 439, 3073, 12731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89100 and 89117. The biggest common factor number is the GCF number.
So the greatest common factor 89100 and 89117 is 1.

Also check out the Least Common Multiple of 89100 and 89117