What is the Greatest Common Factor of 26404 and 26414?

Greatest common factor (GCF) of 26404 and 26414 is 2.

GCF(26404,26414) = 2

We will now calculate the prime factors of 26404 and 26414, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26404 and 26414.

How to find the GCF of 26404 and 26414?

We will first find the prime factorization of 26404 and 26414. After we will calculate the factors of 26404 and 26414 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26414

Prime factors of 26414 are 2, 47, 281. Prime factorization of 26414 in exponential form is:

26414 = 2¹ × 47¹ × 281¹

Step-3: Factors of 26404

List of positive integer factors of 26404 that divides 26404 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

Step-4: Factors of 26414

List of positive integer factors of 26414 that divides 26404 without a remainder.

1, 2, 47, 94, 281, 562, 13207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26404 and 26414. The biggest common factor number is the GCF number.
So the greatest common factor 26404 and 26414 is 2.

Also check out the Least Common Multiple of 26404 and 26414