What is the Greatest Common Factor of 86256 and 86272?

Greatest common factor (GCF) of 86256 and 86272 is 16.

GCF(86256,86272) = 16

We will now calculate the prime factors of 86256 and 86272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86256 and 86272.

How to find the GCF of 86256 and 86272?

We will first find the prime factorization of 86256 and 86272. After we will calculate the factors of 86256 and 86272 and find the biggest common factor number .

Step-1: Prime Factorization of 86256

Prime factors of 86256 are 2, 3, 599. Prime factorization of 86256 in exponential form is:

86256 = 2⁴ × 3² × 599¹

Step-2: Prime Factorization of 86272

Prime factors of 86272 are 2, 337. Prime factorization of 86272 in exponential form is:

86272 = 2⁸ × 337¹

Step-3: Factors of 86256

List of positive integer factors of 86256 that divides 86256 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 599, 1198, 1797, 2396, 3594, 4792, 5391, 7188, 9584, 10782, 14376, 21564, 28752, 43128

Step-4: Factors of 86272

List of positive integer factors of 86272 that divides 86256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256, 337, 674, 1348, 2696, 5392, 10784, 21568, 43136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86256 and 86272. The biggest common factor number is the GCF number.
So the greatest common factor 86256 and 86272 is 16.

Also check out the Least Common Multiple of 86256 and 86272