What is the Greatest Common Factor of 93590 and 93610?

Greatest common factor (GCF) of 93590 and 93610 is 10.

GCF(93590,93610) = 10

We will now calculate the prime factors of 93590 and 93610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93590 and 93610.

How to find the GCF of 93590 and 93610?

We will first find the prime factorization of 93590 and 93610. After we will calculate the factors of 93590 and 93610 and find the biggest common factor number .

Step-1: Prime Factorization of 93590

Prime factors of 93590 are 2, 5, 7, 191. Prime factorization of 93590 in exponential form is:

93590 = 2¹ × 5¹ × 7² × 191¹

Step-2: Prime Factorization of 93610

Prime factors of 93610 are 2, 5, 11, 23, 37. Prime factorization of 93610 in exponential form is:

93610 = 2¹ × 5¹ × 11¹ × 23¹ × 37¹

Step-3: Factors of 93590

List of positive integer factors of 93590 that divides 93590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 191, 245, 382, 490, 955, 1337, 1910, 2674, 6685, 9359, 13370, 18718, 46795

Step-4: Factors of 93610

List of positive integer factors of 93610 that divides 93590 without a remainder.

1, 2, 5, 10, 11, 22, 23, 37, 46, 55, 74, 110, 115, 185, 230, 253, 370, 407, 506, 814, 851, 1265, 1702, 2035, 2530, 4070, 4255, 8510, 9361, 18722, 46805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93590 and 93610. The biggest common factor number is the GCF number.
So the greatest common factor 93590 and 93610 is 10.

Also check out the Least Common Multiple of 93590 and 93610