What is the Greatest Common Factor of 91468 and 91481?

Greatest common factor (GCF) of 91468 and 91481 is 13.

GCF(91468,91481) = 13

We will now calculate the prime factors of 91468 and 91481, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91468 and 91481.

How to find the GCF of 91468 and 91481?

We will first find the prime factorization of 91468 and 91481. After we will calculate the factors of 91468 and 91481 and find the biggest common factor number .

Step-1: Prime Factorization of 91468

Prime factors of 91468 are 2, 13, 1759. Prime factorization of 91468 in exponential form is:

91468 = 2² × 13¹ × 1759¹

Step-2: Prime Factorization of 91481

Prime factors of 91481 are 13, 31, 227. Prime factorization of 91481 in exponential form is:

91481 = 13¹ × 31¹ × 227¹

Step-3: Factors of 91468

List of positive integer factors of 91468 that divides 91468 without a remainder.

1, 2, 4, 13, 26, 52, 1759, 3518, 7036, 22867, 45734

Step-4: Factors of 91481

List of positive integer factors of 91481 that divides 91468 without a remainder.

1, 13, 31, 227, 403, 2951, 7037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91468 and 91481. The biggest common factor number is the GCF number.
So the greatest common factor 91468 and 91481 is 13.

Also check out the Least Common Multiple of 91468 and 91481