What is the Greatest Common Factor of 91320 and 91331?

Greatest common factor (GCF) of 91320 and 91331 is 1.

GCF(91320,91331) = 1

We will now calculate the prime factors of 91320 and 91331, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91320 and 91331.

How to find the GCF of 91320 and 91331?

We will first find the prime factorization of 91320 and 91331. After we will calculate the factors of 91320 and 91331 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 91331

Prime factors of 91331 are 91331. Prime factorization of 91331 in exponential form is:

91331 = 91331¹

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 91331

List of positive integer factors of 91331 that divides 91320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91320 and 91331. The biggest common factor number is the GCF number.
So the greatest common factor 91320 and 91331 is 1.

Also check out the Least Common Multiple of 91320 and 91331