What is the Greatest Common Factor of 91350 and 91355?

Greatest common factor (GCF) of 91350 and 91355 is 5.

GCF(91350,91355) = 5

We will now calculate the prime factors of 91350 and 91355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91350 and 91355.

How to find the GCF of 91350 and 91355?

We will first find the prime factorization of 91350 and 91355. After we will calculate the factors of 91350 and 91355 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 91355

Prime factors of 91355 are 5, 11, 151. Prime factorization of 91355 in exponential form is:

91355 = 5¹ × 11² × 151¹

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 91355

List of positive integer factors of 91355 that divides 91350 without a remainder.

1, 5, 11, 55, 121, 151, 605, 755, 1661, 8305, 18271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91350 and 91355. The biggest common factor number is the GCF number.
So the greatest common factor 91350 and 91355 is 5.

Also check out the Least Common Multiple of 91350 and 91355