What is the Greatest Common Factor of 85504 and 85517?

Greatest common factor (GCF) of 85504 and 85517 is 1.

GCF(85504,85517) = 1

We will now calculate the prime factors of 85504 and 85517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85504 and 85517.

How to find the GCF of 85504 and 85517?

We will first find the prime factorization of 85504 and 85517. After we will calculate the factors of 85504 and 85517 and find the biggest common factor number .

Step-1: Prime Factorization of 85504

Prime factors of 85504 are 2, 167. Prime factorization of 85504 in exponential form is:

85504 = 2⁹ × 167¹

Step-2: Prime Factorization of 85517

Prime factors of 85517 are 85517. Prime factorization of 85517 in exponential form is:

85517 = 85517¹

Step-3: Factors of 85504

List of positive integer factors of 85504 that divides 85504 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 167, 256, 334, 512, 668, 1336, 2672, 5344, 10688, 21376, 42752

Step-4: Factors of 85517

List of positive integer factors of 85517 that divides 85504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85504 and 85517. The biggest common factor number is the GCF number.
So the greatest common factor 85504 and 85517 is 1.

Also check out the Least Common Multiple of 85504 and 85517