What is the Greatest Common Factor of 59595 and 59613?

Greatest common factor (GCF) of 59595 and 59613 is 3.

GCF(59595,59613) = 3

We will now calculate the prime factors of 59595 and 59613, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59595 and 59613.

How to find the GCF of 59595 and 59613?

We will first find the prime factorization of 59595 and 59613. After we will calculate the factors of 59595 and 59613 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 59613

Prime factors of 59613 are 3, 31, 641. Prime factorization of 59613 in exponential form is:

59613 = 3¹ × 31¹ × 641¹

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 59613

List of positive integer factors of 59613 that divides 59595 without a remainder.

1, 3, 31, 93, 641, 1923, 19871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59595 and 59613. The biggest common factor number is the GCF number.
So the greatest common factor 59595 and 59613 is 3.

Also check out the Least Common Multiple of 59595 and 59613