What is the Greatest Common Factor of 59610 and 59625?

Greatest common factor (GCF) of 59610 and 59625 is 15.

GCF(59610,59625) = 15

We will now calculate the prime factors of 59610 and 59625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59610 and 59625.

How to find the GCF of 59610 and 59625?

We will first find the prime factorization of 59610 and 59625. After we will calculate the factors of 59610 and 59625 and find the biggest common factor number .

Step-1: 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-2: 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-3: Factors of 59610

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

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

Step-4: Factors of 59625

List of positive integer factors of 59625 that divides 59610 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59610 and 59625. The biggest common factor number is the GCF number.
So the greatest common factor 59610 and 59625 is 15.

Also check out the Least Common Multiple of 59610 and 59625