What is the Greatest Common Factor of 26416 and 26423?

Greatest common factor (GCF) of 26416 and 26423 is 1.

GCF(26416,26423) = 1

We will now calculate the prime factors of 26416 and 26423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26416 and 26423.

How to find the GCF of 26416 and 26423?

We will first find the prime factorization of 26416 and 26423. After we will calculate the factors of 26416 and 26423 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26423

Prime factors of 26423 are 26423. Prime factorization of 26423 in exponential form is:

26423 = 26423¹

Step-3: Factors of 26416

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

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

Step-4: Factors of 26423

List of positive integer factors of 26423 that divides 26416 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26416 and 26423. The biggest common factor number is the GCF number.
So the greatest common factor 26416 and 26423 is 1.

Also check out the Least Common Multiple of 26416 and 26423