What is the Greatest Common Factor of 91613 and 91630?

Greatest common factor (GCF) of 91613 and 91630 is 17.

GCF(91613,91630) = 17

We will now calculate the prime factors of 91613 and 91630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91613 and 91630.

How to find the GCF of 91613 and 91630?

We will first find the prime factorization of 91613 and 91630. After we will calculate the factors of 91613 and 91630 and find the biggest common factor number .

Step-1: Prime Factorization of 91613

Prime factors of 91613 are 17, 317. Prime factorization of 91613 in exponential form is:

91613 = 17² × 317¹

Step-2: Prime Factorization of 91630

Prime factors of 91630 are 2, 5, 7, 11, 17. Prime factorization of 91630 in exponential form is:

91630 = 2¹ × 5¹ × 7² × 11¹ × 17¹

Step-3: Factors of 91613

List of positive integer factors of 91613 that divides 91613 without a remainder.

1, 17, 289, 317, 5389

Step-4: Factors of 91630

List of positive integer factors of 91630 that divides 91613 without a remainder.

1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 49, 55, 70, 77, 85, 98, 110, 119, 154, 170, 187, 238, 245, 374, 385, 490, 539, 595, 770, 833, 935, 1078, 1190, 1309, 1666, 1870, 2618, 2695, 4165, 5390, 6545, 8330, 9163, 13090, 18326, 45815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91613 and 91630. The biggest common factor number is the GCF number.
So the greatest common factor 91613 and 91630 is 17.

Also check out the Least Common Multiple of 91613 and 91630