What is the Greatest Common Factor of 85359 and 85372?

Greatest common factor (GCF) of 85359 and 85372 is 1.

GCF(85359,85372) = 1

We will now calculate the prime factors of 85359 and 85372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85359 and 85372.

How to find the GCF of 85359 and 85372?

We will first find the prime factorization of 85359 and 85372. After we will calculate the factors of 85359 and 85372 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 85372

Prime factors of 85372 are 2, 7, 3049. Prime factorization of 85372 in exponential form is:

85372 = 2² × 7¹ × 3049¹

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 85372

List of positive integer factors of 85372 that divides 85359 without a remainder.

1, 2, 4, 7, 14, 28, 3049, 6098, 12196, 21343, 42686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85359 and 85372. The biggest common factor number is the GCF number.
So the greatest common factor 85359 and 85372 is 1.

Also check out the Least Common Multiple of 85359 and 85372