What is the Greatest Common Factor of 89910 and 89928?

Greatest common factor (GCF) of 89910 and 89928 is 18.

GCF(89910,89928) = 18

We will now calculate the prime factors of 89910 and 89928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89910 and 89928.

How to find the GCF of 89910 and 89928?

We will first find the prime factorization of 89910 and 89928. After we will calculate the factors of 89910 and 89928 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 89928

Prime factors of 89928 are 2, 3, 1249. Prime factorization of 89928 in exponential form is:

89928 = 2³ × 3² × 1249¹

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 89928

List of positive integer factors of 89928 that divides 89910 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1249, 2498, 3747, 4996, 7494, 9992, 11241, 14988, 22482, 29976, 44964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89910 and 89928. The biggest common factor number is the GCF number.
So the greatest common factor 89910 and 89928 is 18.

Also check out the Least Common Multiple of 89910 and 89928