What is the Greatest Common Factor of 91790 and 91810?

Greatest common factor (GCF) of 91790 and 91810 is 10.

GCF(91790,91810) = 10

We will now calculate the prime factors of 91790 and 91810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91790 and 91810.

How to find the GCF of 91790 and 91810?

We will first find the prime factorization of 91790 and 91810. After we will calculate the factors of 91790 and 91810 and find the biggest common factor number .

Step-1: Prime Factorization of 91790

Prime factors of 91790 are 2, 5, 67, 137. Prime factorization of 91790 in exponential form is:

91790 = 2¹ × 5¹ × 67¹ × 137¹

Step-2: Prime Factorization of 91810

Prime factors of 91810 are 2, 5, 9181. Prime factorization of 91810 in exponential form is:

91810 = 2¹ × 5¹ × 9181¹

Step-3: Factors of 91790

List of positive integer factors of 91790 that divides 91790 without a remainder.

1, 2, 5, 10, 67, 134, 137, 274, 335, 670, 685, 1370, 9179, 18358, 45895

Step-4: Factors of 91810

List of positive integer factors of 91810 that divides 91790 without a remainder.

1, 2, 5, 10, 9181, 18362, 45905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91790 and 91810. The biggest common factor number is the GCF number.
So the greatest common factor 91790 and 91810 is 10.

Also check out the Least Common Multiple of 91790 and 91810