What is the Greatest Common Factor of 59475 and 59484?

Greatest common factor (GCF) of 59475 and 59484 is 3.

GCF(59475,59484) = 3

We will now calculate the prime factors of 59475 and 59484, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59475 and 59484.

How to find the GCF of 59475 and 59484?

We will first find the prime factorization of 59475 and 59484. After we will calculate the factors of 59475 and 59484 and find the biggest common factor number .

Step-1: Prime Factorization of 59475

Prime factors of 59475 are 3, 5, 13, 61. Prime factorization of 59475 in exponential form is:

59475 = 3¹ × 5² × 13¹ × 61¹

Step-2: Prime Factorization of 59484

Prime factors of 59484 are 2, 3, 4957. Prime factorization of 59484 in exponential form is:

59484 = 2² × 3¹ × 4957¹

Step-3: Factors of 59475

List of positive integer factors of 59475 that divides 59475 without a remainder.

1, 3, 5, 13, 15, 25, 39, 61, 65, 75, 183, 195, 305, 325, 793, 915, 975, 1525, 2379, 3965, 4575, 11895, 19825

Step-4: Factors of 59484

List of positive integer factors of 59484 that divides 59475 without a remainder.

1, 2, 3, 4, 6, 12, 4957, 9914, 14871, 19828, 29742

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59475 and 59484. The biggest common factor number is the GCF number.
So the greatest common factor 59475 and 59484 is 3.

Also check out the Least Common Multiple of 59475 and 59484