What is the Greatest Common Factor of 85248 and 85258?

Greatest common factor (GCF) of 85248 and 85258 is 2.

GCF(85248,85258) = 2

We will now calculate the prime factors of 85248 and 85258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85248 and 85258.

How to find the GCF of 85248 and 85258?

We will first find the prime factorization of 85248 and 85258. After we will calculate the factors of 85248 and 85258 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 85258

Prime factors of 85258 are 2, 47, 907. Prime factorization of 85258 in exponential form is:

85258 = 2¹ × 47¹ × 907¹

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 85258

List of positive integer factors of 85258 that divides 85248 without a remainder.

1, 2, 47, 94, 907, 1814, 42629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85248 and 85258. The biggest common factor number is the GCF number.
So the greatest common factor 85248 and 85258 is 2.

Also check out the Least Common Multiple of 85248 and 85258