What is the Greatest Common Factor of 85248 and 85256?

Greatest common factor (GCF) of 85248 and 85256 is 8.

GCF(85248,85256) = 8

We will now calculate the prime factors of 85248 and 85256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85248 and 85256.

How to find the GCF of 85248 and 85256?

We will first find the prime factorization of 85248 and 85256. After we will calculate the factors of 85248 and 85256 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85256

Prime factors of 85256 are 2, 10657. Prime factorization of 85256 in exponential form is:

85256 = 2³ × 10657¹

Step-3: Factors of 85248

List of positive integer factors of 85248 that divides 85248 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

Step-4: Factors of 85256

List of positive integer factors of 85256 that divides 85248 without a remainder.

1, 2, 4, 8, 10657, 21314, 42628

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85248 and 85256. The biggest common factor number is the GCF number.
So the greatest common factor 85248 and 85256 is 8.

Also check out the Least Common Multiple of 85248 and 85256