What is the Greatest Common Factor of 26448 and 26456?

Greatest common factor (GCF) of 26448 and 26456 is 8.

GCF(26448,26456) = 8

We will now calculate the prime factors of 26448 and 26456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26448 and 26456.

How to find the GCF of 26448 and 26456?

We will first find the prime factorization of 26448 and 26456. After we will calculate the factors of 26448 and 26456 and find the biggest common factor number .

Step-1: Prime Factorization of 26448

Prime factors of 26448 are 2, 3, 19, 29. Prime factorization of 26448 in exponential form is:

26448 = 2⁴ × 3¹ × 19¹ × 29¹

Step-2: Prime Factorization of 26456

Prime factors of 26456 are 2, 3307. Prime factorization of 26456 in exponential form is:

26456 = 2³ × 3307¹

Step-3: Factors of 26448

List of positive integer factors of 26448 that divides 26448 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 29, 38, 48, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 304, 348, 456, 464, 551, 696, 912, 1102, 1392, 1653, 2204, 3306, 4408, 6612, 8816, 13224

Step-4: Factors of 26456

List of positive integer factors of 26456 that divides 26448 without a remainder.

1, 2, 4, 8, 3307, 6614, 13228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26448 and 26456. The biggest common factor number is the GCF number.
So the greatest common factor 26448 and 26456 is 8.

Also check out the Least Common Multiple of 26448 and 26456