What is the Greatest Common Factor of 85202 and 85215?

Greatest common factor (GCF) of 85202 and 85215 is 13.

GCF(85202,85215) = 13

We will now calculate the prime factors of 85202 and 85215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85202 and 85215.

How to find the GCF of 85202 and 85215?

We will first find the prime factorization of 85202 and 85215. After we will calculate the factors of 85202 and 85215 and find the biggest common factor number .

Step-1: Prime Factorization of 85202

Prime factors of 85202 are 2, 13, 29, 113. Prime factorization of 85202 in exponential form is:

85202 = 2¹ × 13¹ × 29¹ × 113¹

Step-2: 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-3: Factors of 85202

List of positive integer factors of 85202 that divides 85202 without a remainder.

1, 2, 13, 26, 29, 58, 113, 226, 377, 754, 1469, 2938, 3277, 6554, 42601

Step-4: Factors of 85215

List of positive integer factors of 85215 that divides 85202 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85202 and 85215. The biggest common factor number is the GCF number.
So the greatest common factor 85202 and 85215 is 13.

Also check out the Least Common Multiple of 85202 and 85215