What is the Greatest Common Factor of 85377 and 85392?

Greatest common factor (GCF) of 85377 and 85392 is 3.

GCF(85377,85392) = 3

We will now calculate the prime factors of 85377 and 85392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85377 and 85392.

How to find the GCF of 85377 and 85392?

We will first find the prime factorization of 85377 and 85392. After we will calculate the factors of 85377 and 85392 and find the biggest common factor number .

Step-1: 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-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 85377

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

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

Step-4: Factors of 85392

List of positive integer factors of 85392 that divides 85377 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 85377 and 85392. The biggest common factor number is the GCF number.
So the greatest common factor 85377 and 85392 is 3.

Also check out the Least Common Multiple of 85377 and 85392