What is the Greatest Common Factor of 59595 and 59610?

Greatest common factor (GCF) of 59595 and 59610 is 15.

GCF(59595,59610) = 15

We will now calculate the prime factors of 59595 and 59610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59595 and 59610.

How to find the GCF of 59595 and 59610?

We will first find the prime factorization of 59595 and 59610. After we will calculate the factors of 59595 and 59610 and find the biggest common factor number .

Step-1: Prime Factorization of 59595

Prime factors of 59595 are 3, 5, 29, 137. Prime factorization of 59595 in exponential form is:

59595 = 3¹ × 5¹ × 29¹ × 137¹

Step-2: Prime Factorization of 59610

Prime factors of 59610 are 2, 3, 5, 1987. Prime factorization of 59610 in exponential form is:

59610 = 2¹ × 3¹ × 5¹ × 1987¹

Step-3: Factors of 59595

List of positive integer factors of 59595 that divides 59595 without a remainder.

1, 3, 5, 15, 29, 87, 137, 145, 411, 435, 685, 2055, 3973, 11919, 19865

Step-4: Factors of 59610

List of positive integer factors of 59610 that divides 59595 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1987, 3974, 5961, 9935, 11922, 19870, 29805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59595 and 59610. The biggest common factor number is the GCF number.
So the greatest common factor 59595 and 59610 is 15.

Also check out the Least Common Multiple of 59595 and 59610