What is the Greatest Common Factor of 85319 and 85337?

Greatest common factor (GCF) of 85319 and 85337 is 1.

GCF(85319,85337) = 1

We will now calculate the prime factors of 85319 and 85337, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85319 and 85337.

How to find the GCF of 85319 and 85337?

We will first find the prime factorization of 85319 and 85337. After we will calculate the factors of 85319 and 85337 and find the biggest common factor number .

Step-1: Prime Factorization of 85319

Prime factors of 85319 are 13, 6563. Prime factorization of 85319 in exponential form is:

85319 = 13¹ × 6563¹

Step-2: Prime Factorization of 85337

Prime factors of 85337 are 7, 73, 167. Prime factorization of 85337 in exponential form is:

85337 = 7¹ × 73¹ × 167¹

Step-3: Factors of 85319

List of positive integer factors of 85319 that divides 85319 without a remainder.

1, 13, 6563

Step-4: Factors of 85337

List of positive integer factors of 85337 that divides 85319 without a remainder.

1, 7, 73, 167, 511, 1169, 12191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85319 and 85337. The biggest common factor number is the GCF number.
So the greatest common factor 85319 and 85337 is 1.

Also check out the Least Common Multiple of 85319 and 85337