What is the Greatest Common Factor of 85595 and 85612?

Greatest common factor (GCF) of 85595 and 85612 is 17.

GCF(85595,85612) = 17

We will now calculate the prime factors of 85595 and 85612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85595 and 85612.

How to find the GCF of 85595 and 85612?

We will first find the prime factorization of 85595 and 85612. After we will calculate the factors of 85595 and 85612 and find the biggest common factor number .

Step-1: Prime Factorization of 85595

Prime factors of 85595 are 5, 17, 19, 53. Prime factorization of 85595 in exponential form is:

85595 = 5¹ × 17¹ × 19¹ × 53¹

Step-2: Prime Factorization of 85612

Prime factors of 85612 are 2, 17, 1259. Prime factorization of 85612 in exponential form is:

85612 = 2² × 17¹ × 1259¹

Step-3: Factors of 85595

List of positive integer factors of 85595 that divides 85595 without a remainder.

1, 5, 17, 19, 53, 85, 95, 265, 323, 901, 1007, 1615, 4505, 5035, 17119

Step-4: Factors of 85612

List of positive integer factors of 85612 that divides 85595 without a remainder.

1, 2, 4, 17, 34, 68, 1259, 2518, 5036, 21403, 42806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85595 and 85612. The biggest common factor number is the GCF number.
So the greatest common factor 85595 and 85612 is 17.

Also check out the Least Common Multiple of 85595 and 85612