What is the Greatest Common Factor of 85215 and 85235?

Greatest common factor (GCF) of 85215 and 85235 is 5.

GCF(85215,85235) = 5

We will now calculate the prime factors of 85215 and 85235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85215 and 85235.

How to find the GCF of 85215 and 85235?

We will first find the prime factorization of 85215 and 85235. After we will calculate the factors of 85215 and 85235 and find the biggest common factor number .

Step-1: Prime Factorization of 85215

Prime factors of 85215 are 3, 5, 13, 19, 23. Prime factorization of 85215 in exponential form is:

85215 = 3¹ × 5¹ × 13¹ × 19¹ × 23¹

Step-2: Prime Factorization of 85235

Prime factors of 85235 are 5, 17047. Prime factorization of 85235 in exponential form is:

85235 = 5¹ × 17047¹

Step-3: Factors of 85215

List of positive integer factors of 85215 that divides 85215 without a remainder.

1, 3, 5, 13, 15, 19, 23, 39, 57, 65, 69, 95, 115, 195, 247, 285, 299, 345, 437, 741, 897, 1235, 1311, 1495, 2185, 3705, 4485, 5681, 6555, 17043, 28405

Step-4: Factors of 85235

List of positive integer factors of 85235 that divides 85215 without a remainder.

1, 5, 17047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85215 and 85235. The biggest common factor number is the GCF number.
So the greatest common factor 85215 and 85235 is 5.

Also check out the Least Common Multiple of 85215 and 85235