What is the Greatest Common Factor of 85385 and 85392?

Greatest common factor (GCF) of 85385 and 85392 is 1.

GCF(85385,85392) = 1

We will now calculate the prime factors of 85385 and 85392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85385 and 85392.

How to find the GCF of 85385 and 85392?

We will first find the prime factorization of 85385 and 85392. After we will calculate the factors of 85385 and 85392 and find the biggest common factor number .

Step-1: Prime Factorization of 85385

Prime factors of 85385 are 5, 17077. Prime factorization of 85385 in exponential form is:

85385 = 5¹ × 17077¹

Step-2: Prime Factorization of 85392

Prime factors of 85392 are 2, 3, 593. Prime factorization of 85392 in exponential form is:

85392 = 2⁴ × 3² × 593¹

Step-3: Factors of 85385

List of positive integer factors of 85385 that divides 85385 without a remainder.

1, 5, 17077

Step-4: Factors of 85392

List of positive integer factors of 85392 that divides 85385 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 593, 1186, 1779, 2372, 3558, 4744, 5337, 7116, 9488, 10674, 14232, 21348, 28464, 42696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85385 and 85392. The biggest common factor number is the GCF number.
So the greatest common factor 85385 and 85392 is 1.

Also check out the Least Common Multiple of 85385 and 85392