What is the Greatest Common Factor of 91635 and 91650?

Greatest common factor (GCF) of 91635 and 91650 is 15.

GCF(91635,91650) = 15

We will now calculate the prime factors of 91635 and 91650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91635 and 91650.

How to find the GCF of 91635 and 91650?

We will first find the prime factorization of 91635 and 91650. After we will calculate the factors of 91635 and 91650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91650

Prime factors of 91650 are 2, 3, 5, 13, 47. Prime factorization of 91650 in exponential form is:

91650 = 2¹ × 3¹ × 5² × 13¹ × 47¹

Step-3: Factors of 91635

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

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

Step-4: Factors of 91650

List of positive integer factors of 91650 that divides 91635 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 47, 50, 65, 75, 78, 94, 130, 141, 150, 195, 235, 282, 325, 390, 470, 611, 650, 705, 975, 1175, 1222, 1410, 1833, 1950, 2350, 3055, 3525, 3666, 6110, 7050, 9165, 15275, 18330, 30550, 45825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91635 and 91650. The biggest common factor number is the GCF number.
So the greatest common factor 91635 and 91650 is 15.

Also check out the Least Common Multiple of 91635 and 91650