What is the Greatest Common Factor of 89910 and 89925?

Greatest common factor (GCF) of 89910 and 89925 is 15.

GCF(89910,89925) = 15

We will now calculate the prime factors of 89910 and 89925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89910 and 89925.

How to find the GCF of 89910 and 89925?

We will first find the prime factorization of 89910 and 89925. After we will calculate the factors of 89910 and 89925 and find the biggest common factor number .

Step-1: Prime Factorization of 89910

Prime factors of 89910 are 2, 3, 5, 37. Prime factorization of 89910 in exponential form is:

89910 = 2¹ × 3⁵ × 5¹ × 37¹

Step-2: Prime Factorization of 89925

Prime factors of 89925 are 3, 5, 11, 109. Prime factorization of 89925 in exponential form is:

89925 = 3¹ × 5² × 11¹ × 109¹

Step-3: Factors of 89910

List of positive integer factors of 89910 that divides 89910 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 37, 45, 54, 74, 81, 90, 111, 135, 162, 185, 222, 243, 270, 333, 370, 405, 486, 555, 666, 810, 999, 1110, 1215, 1665, 1998, 2430, 2997, 3330, 4995, 5994, 8991, 9990, 14985, 17982, 29970, 44955

Step-4: Factors of 89925

List of positive integer factors of 89925 that divides 89910 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 109, 165, 275, 327, 545, 825, 1199, 1635, 2725, 3597, 5995, 8175, 17985, 29975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89910 and 89925. The biggest common factor number is the GCF number.
So the greatest common factor 89910 and 89925 is 15.

Also check out the Least Common Multiple of 89910 and 89925