What is the Greatest Common Factor of 91350 and 91365?

Greatest common factor (GCF) of 91350 and 91365 is 15.

GCF(91350,91365) = 15

We will now calculate the prime factors of 91350 and 91365, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91350 and 91365.

How to find the GCF of 91350 and 91365?

We will first find the prime factorization of 91350 and 91365. After we will calculate the factors of 91350 and 91365 and find the biggest common factor number .

Step-1: Prime Factorization of 91350

Prime factors of 91350 are 2, 3, 5, 7, 29. Prime factorization of 91350 in exponential form is:

91350 = 2¹ × 3² × 5² × 7¹ × 29¹

Step-2: Prime Factorization of 91365

Prime factors of 91365 are 3, 5, 6091. Prime factorization of 91365 in exponential form is:

91365 = 3¹ × 5¹ × 6091¹

Step-3: Factors of 91350

List of positive integer factors of 91350 that divides 91350 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 29, 30, 35, 42, 45, 50, 58, 63, 70, 75, 87, 90, 105, 126, 145, 150, 174, 175, 203, 210, 225, 261, 290, 315, 350, 406, 435, 450, 522, 525, 609, 630, 725, 870, 1015, 1050, 1218, 1305, 1450, 1575, 1827, 2030, 2175, 2610, 3045, 3150, 3654, 4350, 5075, 6090, 6525, 9135, 10150, 13050, 15225, 18270, 30450, 45675

Step-4: Factors of 91365

List of positive integer factors of 91365 that divides 91350 without a remainder.

1, 3, 5, 15, 6091, 18273, 30455

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91350 and 91365. The biggest common factor number is the GCF number.
So the greatest common factor 91350 and 91365 is 15.

Also check out the Least Common Multiple of 91350 and 91365