What is the Greatest Common Factor of 91585 and 91605?

Greatest common factor (GCF) of 91585 and 91605 is 5.

GCF(91585,91605) = 5

We will now calculate the prime factors of 91585 and 91605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91585 and 91605.

How to find the GCF of 91585 and 91605?

We will first find the prime factorization of 91585 and 91605. After we will calculate the factors of 91585 and 91605 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91605

Prime factors of 91605 are 3, 5, 31, 197. Prime factorization of 91605 in exponential form is:

91605 = 3¹ × 5¹ × 31¹ × 197¹

Step-3: Factors of 91585

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

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

Step-4: Factors of 91605

List of positive integer factors of 91605 that divides 91585 without a remainder.

1, 3, 5, 15, 31, 93, 155, 197, 465, 591, 985, 2955, 6107, 18321, 30535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91585 and 91605. The biggest common factor number is the GCF number.
So the greatest common factor 91585 and 91605 is 5.

Also check out the Least Common Multiple of 91585 and 91605