What is the Greatest Common Factor of 91585 and 91598?

Greatest common factor (GCF) of 91585 and 91598 is 13.

GCF(91585,91598) = 13

We will now calculate the prime factors of 91585 and 91598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91585 and 91598.

How to find the GCF of 91585 and 91598?

We will first find the prime factorization of 91585 and 91598. After we will calculate the factors of 91585 and 91598 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 91598

Prime factors of 91598 are 2, 13, 271. Prime factorization of 91598 in exponential form is:

91598 = 2¹ × 13² × 271¹

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 91598

List of positive integer factors of 91598 that divides 91585 without a remainder.

1, 2, 13, 26, 169, 271, 338, 542, 3523, 7046, 45799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91585 and 91598. The biggest common factor number is the GCF number.
So the greatest common factor 91585 and 91598 is 13.

Also check out the Least Common Multiple of 91585 and 91598