What is the Greatest Common Factor of 89580 and 89595?

Greatest common factor (GCF) of 89580 and 89595 is 15.

GCF(89580,89595) = 15

We will now calculate the prime factors of 89580 and 89595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89580 and 89595.

How to find the GCF of 89580 and 89595?

We will first find the prime factorization of 89580 and 89595. After we will calculate the factors of 89580 and 89595 and find the biggest common factor number .

Step-1: Prime Factorization of 89580

Prime factors of 89580 are 2, 3, 5, 1493. Prime factorization of 89580 in exponential form is:

89580 = 2² × 3¹ × 5¹ × 1493¹

Step-2: Prime Factorization of 89595

Prime factors of 89595 are 3, 5, 11, 181. Prime factorization of 89595 in exponential form is:

89595 = 3² × 5¹ × 11¹ × 181¹

Step-3: Factors of 89580

List of positive integer factors of 89580 that divides 89580 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1493, 2986, 4479, 5972, 7465, 8958, 14930, 17916, 22395, 29860, 44790

Step-4: Factors of 89595

List of positive integer factors of 89595 that divides 89580 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 181, 495, 543, 905, 1629, 1991, 2715, 5973, 8145, 9955, 17919, 29865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89580 and 89595. The biggest common factor number is the GCF number.
So the greatest common factor 89580 and 89595 is 15.

Also check out the Least Common Multiple of 89580 and 89595