What is the Greatest Common Factor of 85305 and 85322?

Greatest common factor (GCF) of 85305 and 85322 is 1.

GCF(85305,85322) = 1

We will now calculate the prime factors of 85305 and 85322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85305 and 85322.

How to find the GCF of 85305 and 85322?

We will first find the prime factorization of 85305 and 85322. After we will calculate the factors of 85305 and 85322 and find the biggest common factor number .

Step-1: Prime Factorization of 85305

Prime factors of 85305 are 3, 5, 11, 47. Prime factorization of 85305 in exponential form is:

85305 = 3¹ × 5¹ × 11² × 47¹

Step-2: Prime Factorization of 85322

Prime factors of 85322 are 2, 37, 1153. Prime factorization of 85322 in exponential form is:

85322 = 2¹ × 37¹ × 1153¹

Step-3: Factors of 85305

List of positive integer factors of 85305 that divides 85305 without a remainder.

1, 3, 5, 11, 15, 33, 47, 55, 121, 141, 165, 235, 363, 517, 605, 705, 1551, 1815, 2585, 5687, 7755, 17061, 28435

Step-4: Factors of 85322

List of positive integer factors of 85322 that divides 85305 without a remainder.

1, 2, 37, 74, 1153, 2306, 42661

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85305 and 85322. The biggest common factor number is the GCF number.
So the greatest common factor 85305 and 85322 is 1.

Also check out the Least Common Multiple of 85305 and 85322