What is the Greatest Common Factor of 91455 and 91468?

Greatest common factor (GCF) of 91455 and 91468 is 13.

GCF(91455,91468) = 13

We will now calculate the prime factors of 91455 and 91468, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91455 and 91468.

How to find the GCF of 91455 and 91468?

We will first find the prime factorization of 91455 and 91468. After we will calculate the factors of 91455 and 91468 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 91468

Prime factors of 91468 are 2, 13, 1759. Prime factorization of 91468 in exponential form is:

91468 = 2² × 13¹ × 1759¹

Step-3: Factors of 91455

List of positive integer factors of 91455 that divides 91455 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

Step-4: Factors of 91468

List of positive integer factors of 91468 that divides 91455 without a remainder.

1, 2, 4, 13, 26, 52, 1759, 3518, 7036, 22867, 45734

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91455 and 91468. The biggest common factor number is the GCF number.
So the greatest common factor 91455 and 91468 is 13.

Also check out the Least Common Multiple of 91455 and 91468