What is the Greatest Common Factor of 85248 and 85268?

Greatest common factor (GCF) of 85248 and 85268 is 4.

GCF(85248,85268) = 4

We will now calculate the prime factors of 85248 and 85268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85248 and 85268.

How to find the GCF of 85248 and 85268?

We will first find the prime factorization of 85248 and 85268. After we will calculate the factors of 85248 and 85268 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 85268

Prime factors of 85268 are 2, 21317. Prime factorization of 85268 in exponential form is:

85268 = 2² × 21317¹

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 85268

List of positive integer factors of 85268 that divides 85248 without a remainder.

1, 2, 4, 21317, 42634

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85248 and 85268. The biggest common factor number is the GCF number.
So the greatest common factor 85248 and 85268 is 4.

Also check out the Least Common Multiple of 85248 and 85268