What is the Greatest Common Factor of 56590 and 56610?

Greatest common factor (GCF) of 56590 and 56610 is 10.

GCF(56590,56610) = 10

We will now calculate the prime factors of 56590 and 56610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56590 and 56610.

How to find the GCF of 56590 and 56610?

We will first find the prime factorization of 56590 and 56610. After we will calculate the factors of 56590 and 56610 and find the biggest common factor number .

Step-1: Prime Factorization of 56590

Prime factors of 56590 are 2, 5, 5659. Prime factorization of 56590 in exponential form is:

56590 = 2¹ × 5¹ × 5659¹

Step-2: 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-3: Factors of 56590

List of positive integer factors of 56590 that divides 56590 without a remainder.

1, 2, 5, 10, 5659, 11318, 28295

Step-4: Factors of 56610

List of positive integer factors of 56610 that divides 56590 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56590 and 56610. The biggest common factor number is the GCF number.
So the greatest common factor 56590 and 56610 is 10.

Also check out the Least Common Multiple of 56590 and 56610