What is the Greatest Common Factor of 26436 and 26448?

Greatest common factor (GCF) of 26436 and 26448 is 12.

GCF(26436,26448) = 12

We will now calculate the prime factors of 26436 and 26448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26436 and 26448.

How to find the GCF of 26436 and 26448?

We will first find the prime factorization of 26436 and 26448. After we will calculate the factors of 26436 and 26448 and find the biggest common factor number .

Step-1: Prime Factorization of 26436

Prime factors of 26436 are 2, 3, 2203. Prime factorization of 26436 in exponential form is:

26436 = 2² × 3¹ × 2203¹

Step-2: 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-3: Factors of 26436

List of positive integer factors of 26436 that divides 26436 without a remainder.

1, 2, 3, 4, 6, 12, 2203, 4406, 6609, 8812, 13218

Step-4: Factors of 26448

List of positive integer factors of 26448 that divides 26436 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26436 and 26448. The biggest common factor number is the GCF number.
So the greatest common factor 26436 and 26448 is 12.

Also check out the Least Common Multiple of 26436 and 26448