What is the Greatest Common Factor of 91590 and 91600?

Greatest common factor (GCF) of 91590 and 91600 is 10.

GCF(91590,91600) = 10

We will now calculate the prime factors of 91590 and 91600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91590 and 91600.

How to find the GCF of 91590 and 91600?

We will first find the prime factorization of 91590 and 91600. After we will calculate the factors of 91590 and 91600 and find the biggest common factor number .

Step-1: Prime Factorization of 91590

Prime factors of 91590 are 2, 3, 5, 43, 71. Prime factorization of 91590 in exponential form is:

91590 = 2¹ × 3¹ × 5¹ × 43¹ × 71¹

Step-2: Prime Factorization of 91600

Prime factors of 91600 are 2, 5, 229. Prime factorization of 91600 in exponential form is:

91600 = 2⁴ × 5² × 229¹

Step-3: Factors of 91590

List of positive integer factors of 91590 that divides 91590 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 43, 71, 86, 129, 142, 213, 215, 258, 355, 426, 430, 645, 710, 1065, 1290, 2130, 3053, 6106, 9159, 15265, 18318, 30530, 45795

Step-4: Factors of 91600

List of positive integer factors of 91600 that divides 91590 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 229, 400, 458, 916, 1145, 1832, 2290, 3664, 4580, 5725, 9160, 11450, 18320, 22900, 45800

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91590 and 91600. The biggest common factor number is the GCF number.
So the greatest common factor 91590 and 91600 is 10.

Also check out the Least Common Multiple of 91590 and 91600