What is the Greatest Common Factor of 91357 and 91361?

Greatest common factor (GCF) of 91357 and 91361 is 1.

GCF(91357,91361) = 1

We will now calculate the prime factors of 91357 and 91361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91357 and 91361.

How to find the GCF of 91357 and 91361?

We will first find the prime factorization of 91357 and 91361. After we will calculate the factors of 91357 and 91361 and find the biggest common factor number .

Step-1: Prime Factorization of 91357

Prime factors of 91357 are 7, 31, 421. Prime factorization of 91357 in exponential form is:

91357 = 7¹ × 31¹ × 421¹

Step-2: Prime Factorization of 91361

Prime factors of 91361 are 103, 887. Prime factorization of 91361 in exponential form is:

91361 = 103¹ × 887¹

Step-3: Factors of 91357

List of positive integer factors of 91357 that divides 91357 without a remainder.

1, 7, 31, 217, 421, 2947, 13051

Step-4: Factors of 91361

List of positive integer factors of 91361 that divides 91357 without a remainder.

1, 103, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91357 and 91361. The biggest common factor number is the GCF number.
So the greatest common factor 91357 and 91361 is 1.

Also check out the Least Common Multiple of 91357 and 91361