What is the Greatest Common Factor of 26398 and 26404?

Greatest common factor (GCF) of 26398 and 26404 is 2.

GCF(26398,26404) = 2

We will now calculate the prime factors of 26398 and 26404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26398 and 26404.

How to find the GCF of 26398 and 26404?

We will first find the prime factorization of 26398 and 26404. After we will calculate the factors of 26398 and 26404 and find the biggest common factor number .

Step-1: Prime Factorization of 26398

Prime factors of 26398 are 2, 67, 197. Prime factorization of 26398 in exponential form is:

26398 = 2¹ × 67¹ × 197¹

Step-2: Prime Factorization of 26404

Prime factors of 26404 are 2, 7, 23, 41. Prime factorization of 26404 in exponential form is:

26404 = 2² × 7¹ × 23¹ × 41¹

Step-3: Factors of 26398

List of positive integer factors of 26398 that divides 26398 without a remainder.

1, 2, 67, 134, 197, 394, 13199

Step-4: Factors of 26404

List of positive integer factors of 26404 that divides 26398 without a remainder.

1, 2, 4, 7, 14, 23, 28, 41, 46, 82, 92, 161, 164, 287, 322, 574, 644, 943, 1148, 1886, 3772, 6601, 13202

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26398 and 26404. The biggest common factor number is the GCF number.
So the greatest common factor 26398 and 26404 is 2.

Also check out the Least Common Multiple of 26398 and 26404