What is the Greatest Common Factor of 91330 and 91340?

Greatest common factor (GCF) of 91330 and 91340 is 10.

GCF(91330,91340) = 10

We will now calculate the prime factors of 91330 and 91340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91330 and 91340.

How to find the GCF of 91330 and 91340?

We will first find the prime factorization of 91330 and 91340. After we will calculate the factors of 91330 and 91340 and find the biggest common factor number .

Step-1: Prime Factorization of 91330

Prime factors of 91330 are 2, 5, 9133. Prime factorization of 91330 in exponential form is:

91330 = 2¹ × 5¹ × 9133¹

Step-2: Prime Factorization of 91340

Prime factors of 91340 are 2, 5, 4567. Prime factorization of 91340 in exponential form is:

91340 = 2² × 5¹ × 4567¹

Step-3: Factors of 91330

List of positive integer factors of 91330 that divides 91330 without a remainder.

1, 2, 5, 10, 9133, 18266, 45665

Step-4: Factors of 91340

List of positive integer factors of 91340 that divides 91330 without a remainder.

1, 2, 4, 5, 10, 20, 4567, 9134, 18268, 22835, 45670

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91330 and 91340. The biggest common factor number is the GCF number.
So the greatest common factor 91330 and 91340 is 10.

Also check out the Least Common Multiple of 91330 and 91340