What is the Greatest Common Factor of 60075 and 60093?

Greatest common factor (GCF) of 60075 and 60093 is 9.

GCF(60075,60093) = 9

We will now calculate the prime factors of 60075 and 60093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60075 and 60093.

How to find the GCF of 60075 and 60093?

We will first find the prime factorization of 60075 and 60093. After we will calculate the factors of 60075 and 60093 and find the biggest common factor number .

Step-1: Prime Factorization of 60075

Prime factors of 60075 are 3, 5, 89. Prime factorization of 60075 in exponential form is:

60075 = 3³ × 5² × 89¹

Step-2: Prime Factorization of 60093

Prime factors of 60093 are 3, 11, 607. Prime factorization of 60093 in exponential form is:

60093 = 3² × 11¹ × 607¹

Step-3: Factors of 60075

List of positive integer factors of 60075 that divides 60075 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 89, 135, 225, 267, 445, 675, 801, 1335, 2225, 2403, 4005, 6675, 12015, 20025

Step-4: Factors of 60093

List of positive integer factors of 60093 that divides 60075 without a remainder.

1, 3, 9, 11, 33, 99, 607, 1821, 5463, 6677, 20031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60075 and 60093. The biggest common factor number is the GCF number.
So the greatest common factor 60075 and 60093 is 9.

Also check out the Least Common Multiple of 60075 and 60093