What is the Greatest Common Factor of 26404 and 26416?

Greatest common factor (GCF) of 26404 and 26416 is 4.

GCF(26404,26416) = 4

We will now calculate the prime factors of 26404 and 26416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26404 and 26416.

How to find the GCF of 26404 and 26416?

We will first find the prime factorization of 26404 and 26416. After we will calculate the factors of 26404 and 26416 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 26416

Prime factors of 26416 are 2, 13, 127. Prime factorization of 26416 in exponential form is:

26416 = 2⁴ × 13¹ × 127¹

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 26416

List of positive integer factors of 26416 that divides 26404 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 127, 208, 254, 508, 1016, 1651, 2032, 3302, 6604, 13208

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26404 and 26416. The biggest common factor number is the GCF number.
So the greatest common factor 26404 and 26416 is 4.

Also check out the Least Common Multiple of 26404 and 26416