What is the Greatest Common Factor of 91320 and 91335?

Greatest common factor (GCF) of 91320 and 91335 is 15.

GCF(91320,91335) = 15

We will now calculate the prime factors of 91320 and 91335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91320 and 91335.

How to find the GCF of 91320 and 91335?

We will first find the prime factorization of 91320 and 91335. After we will calculate the factors of 91320 and 91335 and find the biggest common factor number .

Step-1: Prime Factorization of 91320

Prime factors of 91320 are 2, 3, 5, 761. Prime factorization of 91320 in exponential form is:

91320 = 2³ × 3¹ × 5¹ × 761¹

Step-2: Prime Factorization of 91335

Prime factors of 91335 are 3, 5, 6089. Prime factorization of 91335 in exponential form is:

91335 = 3¹ × 5¹ × 6089¹

Step-3: Factors of 91320

List of positive integer factors of 91320 that divides 91320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 761, 1522, 2283, 3044, 3805, 4566, 6088, 7610, 9132, 11415, 15220, 18264, 22830, 30440, 45660

Step-4: Factors of 91335

List of positive integer factors of 91335 that divides 91320 without a remainder.

1, 3, 5, 15, 6089, 18267, 30445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91320 and 91335. The biggest common factor number is the GCF number.
So the greatest common factor 91320 and 91335 is 15.

Also check out the Least Common Multiple of 91320 and 91335