What is the Greatest Common Factor of 91580 and 91585?

Greatest common factor (GCF) of 91580 and 91585 is 5.

GCF(91580,91585) = 5

We will now calculate the prime factors of 91580 and 91585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91580 and 91585.

How to find the GCF of 91580 and 91585?

We will first find the prime factorization of 91580 and 91585. After we will calculate the factors of 91580 and 91585 and find the biggest common factor number .

Step-1: Prime Factorization of 91580

Prime factors of 91580 are 2, 5, 19, 241. Prime factorization of 91580 in exponential form is:

91580 = 2² × 5¹ × 19¹ × 241¹

Step-2: Prime Factorization of 91585

Prime factors of 91585 are 5, 13, 1409. Prime factorization of 91585 in exponential form is:

91585 = 5¹ × 13¹ × 1409¹

Step-3: Factors of 91580

List of positive integer factors of 91580 that divides 91580 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 241, 380, 482, 964, 1205, 2410, 4579, 4820, 9158, 18316, 22895, 45790

Step-4: Factors of 91585

List of positive integer factors of 91585 that divides 91580 without a remainder.

1, 5, 13, 65, 1409, 7045, 18317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91580 and 91585. The biggest common factor number is the GCF number.
So the greatest common factor 91580 and 91585 is 5.

Also check out the Least Common Multiple of 91580 and 91585