What is the Greatest Common Factor of 26438 and 26448?

Greatest common factor (GCF) of 26438 and 26448 is 2.

GCF(26438,26448) = 2

We will now calculate the prime factors of 26438 and 26448, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26438 and 26448.

How to find the GCF of 26438 and 26448?

We will first find the prime factorization of 26438 and 26448. After we will calculate the factors of 26438 and 26448 and find the biggest common factor number .

Step-1: Prime Factorization of 26438

Prime factors of 26438 are 2, 13219. Prime factorization of 26438 in exponential form is:

26438 = 2¹ × 13219¹

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 26438

List of positive integer factors of 26438 that divides 26438 without a remainder.

1, 2, 13219

Step-4: Factors of 26448

List of positive integer factors of 26448 that divides 26438 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 26438 and 26448. The biggest common factor number is the GCF number.
So the greatest common factor 26438 and 26448 is 2.

Also check out the Least Common Multiple of 26438 and 26448