What is the Greatest Common Factor of 85215 and 85234?

Greatest common factor (GCF) of 85215 and 85234 is 19.

GCF(85215,85234) = 19

We will now calculate the prime factors of 85215 and 85234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85215 and 85234.

How to find the GCF of 85215 and 85234?

We will first find the prime factorization of 85215 and 85234. After we will calculate the factors of 85215 and 85234 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 85234

Prime factors of 85234 are 2, 19, 2243. Prime factorization of 85234 in exponential form is:

85234 = 2¹ × 19¹ × 2243¹

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 85234

List of positive integer factors of 85234 that divides 85215 without a remainder.

1, 2, 19, 38, 2243, 4486, 42617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85215 and 85234. The biggest common factor number is the GCF number.
So the greatest common factor 85215 and 85234 is 19.

Also check out the Least Common Multiple of 85215 and 85234