What is the Greatest Common Factor of 85392 and 85401?

Greatest common factor (GCF) of 85392 and 85401 is 9.

GCF(85392,85401) = 9

We will now calculate the prime factors of 85392 and 85401, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85392 and 85401.

How to find the GCF of 85392 and 85401?

We will first find the prime factorization of 85392 and 85401. After we will calculate the factors of 85392 and 85401 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85401

Prime factors of 85401 are 3, 3163. Prime factorization of 85401 in exponential form is:

85401 = 3³ × 3163¹

Step-3: Factors of 85392

List of positive integer factors of 85392 that divides 85392 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

Step-4: Factors of 85401

List of positive integer factors of 85401 that divides 85392 without a remainder.

1, 3, 9, 27, 3163, 9489, 28467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85392 and 85401. The biggest common factor number is the GCF number.
So the greatest common factor 85392 and 85401 is 9.

Also check out the Least Common Multiple of 85392 and 85401