What is the Greatest Common Factor of 85359 and 85377?

Greatest common factor (GCF) of 85359 and 85377 is 3.

GCF(85359,85377) = 3

We will now calculate the prime factors of 85359 and 85377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85359 and 85377.

How to find the GCF of 85359 and 85377?

We will first find the prime factorization of 85359 and 85377. After we will calculate the factors of 85359 and 85377 and find the biggest common factor number .

Step-1: Prime Factorization of 85359

Prime factors of 85359 are 3, 37, 769. Prime factorization of 85359 in exponential form is:

85359 = 3¹ × 37¹ × 769¹

Step-2: Prime Factorization of 85377

Prime factors of 85377 are 3, 149, 191. Prime factorization of 85377 in exponential form is:

85377 = 3¹ × 149¹ × 191¹

Step-3: Factors of 85359

List of positive integer factors of 85359 that divides 85359 without a remainder.

1, 3, 37, 111, 769, 2307, 28453

Step-4: Factors of 85377

List of positive integer factors of 85377 that divides 85359 without a remainder.

1, 3, 149, 191, 447, 573, 28459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85359 and 85377. The biggest common factor number is the GCF number.
So the greatest common factor 85359 and 85377 is 3.

Also check out the Least Common Multiple of 85359 and 85377