What is the Greatest Common Factor of 83291 and 83297?

Greatest common factor (GCF) of 83291 and 83297 is 1.

GCF(83291,83297) = 1

We will now calculate the prime factors of 83291 and 83297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83291 and 83297.

How to find the GCF of 83291 and 83297?

We will first find the prime factorization of 83291 and 83297. After we will calculate the factors of 83291 and 83297 and find the biggest common factor number .

Step-1: Prime Factorization of 83291

Prime factors of 83291 are 13, 43, 149. Prime factorization of 83291 in exponential form is:

83291 = 13¹ × 43¹ × 149¹

Step-2: Prime Factorization of 83297

Prime factors of 83297 are 31, 2687. Prime factorization of 83297 in exponential form is:

83297 = 31¹ × 2687¹

Step-3: Factors of 83291

List of positive integer factors of 83291 that divides 83291 without a remainder.

1, 13, 43, 149, 559, 1937, 6407

Step-4: Factors of 83297

List of positive integer factors of 83297 that divides 83291 without a remainder.

1, 31, 2687

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83291 and 83297. The biggest common factor number is the GCF number.
So the greatest common factor 83291 and 83297 is 1.

Also check out the Least Common Multiple of 83291 and 83297