What is the Greatest Common Factor of 56610 and 56625?

Greatest common factor (GCF) of 56610 and 56625 is 15.

GCF(56610,56625) = 15

We will now calculate the prime factors of 56610 and 56625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56610 and 56625.

How to find the GCF of 56610 and 56625?

We will first find the prime factorization of 56610 and 56625. After we will calculate the factors of 56610 and 56625 and find the biggest common factor number .

Step-1: Prime Factorization of 56610

Prime factors of 56610 are 2, 3, 5, 17, 37. Prime factorization of 56610 in exponential form is:

56610 = 2¹ × 3² × 5¹ × 17¹ × 37¹

Step-2: Prime Factorization of 56625

Prime factors of 56625 are 3, 5, 151. Prime factorization of 56625 in exponential form is:

56625 = 3¹ × 5³ × 151¹

Step-3: Factors of 56610

List of positive integer factors of 56610 that divides 56610 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 37, 45, 51, 74, 85, 90, 102, 111, 153, 170, 185, 222, 255, 306, 333, 370, 510, 555, 629, 666, 765, 1110, 1258, 1530, 1665, 1887, 3145, 3330, 3774, 5661, 6290, 9435, 11322, 18870, 28305

Step-4: Factors of 56625

List of positive integer factors of 56625 that divides 56610 without a remainder.

1, 3, 5, 15, 25, 75, 125, 151, 375, 453, 755, 2265, 3775, 11325, 18875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56610 and 56625. The biggest common factor number is the GCF number.
So the greatest common factor 56610 and 56625 is 15.

Also check out the Least Common Multiple of 56610 and 56625