What is the Greatest Common Factor of 91440 and 91455?

Greatest common factor (GCF) of 91440 and 91455 is 15.

GCF(91440,91455) = 15

We will now calculate the prime factors of 91440 and 91455, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91440 and 91455.

How to find the GCF of 91440 and 91455?

We will first find the prime factorization of 91440 and 91455. After we will calculate the factors of 91440 and 91455 and find the biggest common factor number .

Step-1: Prime Factorization of 91440

Prime factors of 91440 are 2, 3, 5, 127. Prime factorization of 91440 in exponential form is:

91440 = 2⁴ × 3² × 5¹ × 127¹

Step-2: Prime Factorization of 91455

Prime factors of 91455 are 3, 5, 7, 13, 67. Prime factorization of 91455 in exponential form is:

91455 = 3¹ × 5¹ × 7¹ × 13¹ × 67¹

Step-3: Factors of 91440

List of positive integer factors of 91440 that divides 91440 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 127, 144, 180, 240, 254, 360, 381, 508, 635, 720, 762, 1016, 1143, 1270, 1524, 1905, 2032, 2286, 2540, 3048, 3810, 4572, 5080, 5715, 6096, 7620, 9144, 10160, 11430, 15240, 18288, 22860, 30480, 45720

Step-4: Factors of 91455

List of positive integer factors of 91455 that divides 91440 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 65, 67, 91, 105, 195, 201, 273, 335, 455, 469, 871, 1005, 1365, 1407, 2345, 2613, 4355, 6097, 7035, 13065, 18291, 30485

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91440 and 91455. The biggest common factor number is the GCF number.
So the greatest common factor 91440 and 91455 is 15.

Also check out the Least Common Multiple of 91440 and 91455