What is the Greatest Common Factor of 91630 and 91635?

Greatest common factor (GCF) of 91630 and 91635 is 5.

GCF(91630,91635) = 5

We will now calculate the prime factors of 91630 and 91635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91630 and 91635.

How to find the GCF of 91630 and 91635?

We will first find the prime factorization of 91630 and 91635. After we will calculate the factors of 91630 and 91635 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91635

Prime factors of 91635 are 3, 5, 41, 149. Prime factorization of 91635 in exponential form is:

91635 = 3¹ × 5¹ × 41¹ × 149¹

Step-3: Factors of 91630

List of positive integer factors of 91630 that divides 91630 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

Step-4: Factors of 91635

List of positive integer factors of 91635 that divides 91630 without a remainder.

1, 3, 5, 15, 41, 123, 149, 205, 447, 615, 745, 2235, 6109, 18327, 30545

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91630 and 91635. The biggest common factor number is the GCF number.
So the greatest common factor 91630 and 91635 is 5.

Also check out the Least Common Multiple of 91630 and 91635