What is the Greatest Common Factor of 91455 and 91465?

Greatest common factor (GCF) of 91455 and 91465 is 5.

GCF(91455,91465) = 5

We will now calculate the prime factors of 91455 and 91465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91455 and 91465.

How to find the GCF of 91455 and 91465?

We will first find the prime factorization of 91455 and 91465. After we will calculate the factors of 91455 and 91465 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 91465

Prime factors of 91465 are 5, 11, 1663. Prime factorization of 91465 in exponential form is:

91465 = 5¹ × 11¹ × 1663¹

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 91465

List of positive integer factors of 91465 that divides 91455 without a remainder.

1, 5, 11, 55, 1663, 8315, 18293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91455 and 91465. The biggest common factor number is the GCF number.
So the greatest common factor 91455 and 91465 is 5.

Also check out the Least Common Multiple of 91455 and 91465