What is the Greatest Common Factor of 85504 and 85513?

Greatest common factor (GCF) of 85504 and 85513 is 1.

GCF(85504,85513) = 1

We will now calculate the prime factors of 85504 and 85513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85504 and 85513.

How to find the GCF of 85504 and 85513?

We will first find the prime factorization of 85504 and 85513. After we will calculate the factors of 85504 and 85513 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 85513

Prime factors of 85513 are 85513. Prime factorization of 85513 in exponential form is:

85513 = 85513¹

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 85513

List of positive integer factors of 85513 that divides 85504 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85504 and 85513. The biggest common factor number is the GCF number.
So the greatest common factor 85504 and 85513 is 1.

Also check out the Least Common Multiple of 85504 and 85513