What is the Greatest Common Factor of 59625 and 59637?

Greatest common factor (GCF) of 59625 and 59637 is 3.

GCF(59625,59637) = 3

We will now calculate the prime factors of 59625 and 59637, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59625 and 59637.

How to find the GCF of 59625 and 59637?

We will first find the prime factorization of 59625 and 59637. After we will calculate the factors of 59625 and 59637 and find the biggest common factor number .

Step-1: Prime Factorization of 59625

Prime factors of 59625 are 3, 5, 53. Prime factorization of 59625 in exponential form is:

59625 = 3² × 5³ × 53¹

Step-2: Prime Factorization of 59637

Prime factors of 59637 are 3, 103, 193. Prime factorization of 59637 in exponential form is:

59637 = 3¹ × 103¹ × 193¹

Step-3: Factors of 59625

List of positive integer factors of 59625 that divides 59625 without a remainder.

1, 3, 5, 9, 15, 25, 45, 53, 75, 125, 159, 225, 265, 375, 477, 795, 1125, 1325, 2385, 3975, 6625, 11925, 19875

Step-4: Factors of 59637

List of positive integer factors of 59637 that divides 59625 without a remainder.

1, 3, 103, 193, 309, 579, 19879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59625 and 59637. The biggest common factor number is the GCF number.
So the greatest common factor 59625 and 59637 is 3.

Also check out the Least Common Multiple of 59625 and 59637