What is the Greatest Common Factor of 85392 and 85409?

Greatest common factor (GCF) of 85392 and 85409 is 1.

GCF(85392,85409) = 1

We will now calculate the prime factors of 85392 and 85409, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85392 and 85409.

How to find the GCF of 85392 and 85409?

We will first find the prime factorization of 85392 and 85409. After we will calculate the factors of 85392 and 85409 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 85409

Prime factors of 85409 are 223, 383. Prime factorization of 85409 in exponential form is:

85409 = 223¹ × 383¹

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 85409

List of positive integer factors of 85409 that divides 85392 without a remainder.

1, 223, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85392 and 85409. The biggest common factor number is the GCF number.
So the greatest common factor 85392 and 85409 is 1.

Also check out the Least Common Multiple of 85392 and 85409