What is the Greatest Common Factor of 85242 and 85248?

Greatest common factor (GCF) of 85242 and 85248 is 6.

GCF(85242,85248) = 6

We will now calculate the prime factors of 85242 and 85248, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85242 and 85248.

How to find the GCF of 85242 and 85248?

We will first find the prime factorization of 85242 and 85248. After we will calculate the factors of 85242 and 85248 and find the biggest common factor number .

Step-1: Prime Factorization of 85242

Prime factors of 85242 are 2, 3, 14207. Prime factorization of 85242 in exponential form is:

85242 = 2¹ × 3¹ × 14207¹

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 85242

List of positive integer factors of 85242 that divides 85242 without a remainder.

1, 2, 3, 6, 14207, 28414, 42621

Step-4: Factors of 85248

List of positive integer factors of 85248 that divides 85242 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 85242 and 85248. The biggest common factor number is the GCF number.
So the greatest common factor 85242 and 85248 is 6.

Also check out the Least Common Multiple of 85242 and 85248