What is the Greatest Common Factor of 85305 and 85310?

Greatest common factor (GCF) of 85305 and 85310 is 5.

GCF(85305,85310) = 5

We will now calculate the prime factors of 85305 and 85310, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85305 and 85310.

How to find the GCF of 85305 and 85310?

We will first find the prime factorization of 85305 and 85310. After we will calculate the factors of 85305 and 85310 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 85310

Prime factors of 85310 are 2, 5, 19, 449. Prime factorization of 85310 in exponential form is:

85310 = 2¹ × 5¹ × 19¹ × 449¹

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 85310

List of positive integer factors of 85310 that divides 85305 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 449, 898, 2245, 4490, 8531, 17062, 42655

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85305 and 85310. The biggest common factor number is the GCF number.
So the greatest common factor 85305 and 85310 is 5.

Also check out the Least Common Multiple of 85305 and 85310