What is the Greatest Common Factor of 26256 and 26272?

Greatest common factor (GCF) of 26256 and 26272 is 16.

GCF(26256,26272) = 16

We will now calculate the prime factors of 26256 and 26272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26256 and 26272.

How to find the GCF of 26256 and 26272?

We will first find the prime factorization of 26256 and 26272. After we will calculate the factors of 26256 and 26272 and find the biggest common factor number .

Step-1: Prime Factorization of 26256

Prime factors of 26256 are 2, 3, 547. Prime factorization of 26256 in exponential form is:

26256 = 2⁴ × 3¹ × 547¹

Step-2: Prime Factorization of 26272

Prime factors of 26272 are 2, 821. Prime factorization of 26272 in exponential form is:

26272 = 2⁵ × 821¹

Step-3: Factors of 26256

List of positive integer factors of 26256 that divides 26256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 547, 1094, 1641, 2188, 3282, 4376, 6564, 8752, 13128

Step-4: Factors of 26272

List of positive integer factors of 26272 that divides 26256 without a remainder.

1, 2, 4, 8, 16, 32, 821, 1642, 3284, 6568, 13136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26256 and 26272. The biggest common factor number is the GCF number.
So the greatest common factor 26256 and 26272 is 16.

Also check out the Least Common Multiple of 26256 and 26272