What is the Greatest Common Factor of 85230 and 85248?

Greatest common factor (GCF) of 85230 and 85248 is 18.

GCF(85230,85248) = 18

We will now calculate the prime factors of 85230 and 85248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85230 and 85248.

How to find the GCF of 85230 and 85248?

We will first find the prime factorization of 85230 and 85248. After we will calculate the factors of 85230 and 85248 and find the biggest common factor number .

Step-1: Prime Factorization of 85230

Prime factors of 85230 are 2, 3, 5, 947. Prime factorization of 85230 in exponential form is:

85230 = 2¹ × 3² × 5¹ × 947¹

Step-2: Prime Factorization of 85248

Prime factors of 85248 are 2, 3, 37. Prime factorization of 85248 in exponential form is:

85248 = 2⁸ × 3² × 37¹

Step-3: Factors of 85230

List of positive integer factors of 85230 that divides 85230 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 947, 1894, 2841, 4735, 5682, 8523, 9470, 14205, 17046, 28410, 42615

Step-4: Factors of 85248

List of positive integer factors of 85248 that divides 85230 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 64, 72, 74, 96, 111, 128, 144, 148, 192, 222, 256, 288, 296, 333, 384, 444, 576, 592, 666, 768, 888, 1152, 1184, 1332, 1776, 2304, 2368, 2664, 3552, 4736, 5328, 7104, 9472, 10656, 14208, 21312, 28416, 42624

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85230 and 85248. The biggest common factor number is the GCF number.
So the greatest common factor 85230 and 85248 is 18.

Also check out the Least Common Multiple of 85230 and 85248