What is the Greatest Common Factor of 26409 and 26416?

Greatest common factor (GCF) of 26409 and 26416 is 1.

GCF(26409,26416) = 1

We will now calculate the prime factors of 26409 and 26416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26409 and 26416.

How to find the GCF of 26409 and 26416?

We will first find the prime factorization of 26409 and 26416. After we will calculate the factors of 26409 and 26416 and find the biggest common factor number .

Step-1: Prime Factorization of 26409

Prime factors of 26409 are 3, 8803. Prime factorization of 26409 in exponential form is:

26409 = 3¹ × 8803¹

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 26409

List of positive integer factors of 26409 that divides 26409 without a remainder.

1, 3, 8803

Step-4: Factors of 26416

List of positive integer factors of 26416 that divides 26409 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 26409 and 26416. The biggest common factor number is the GCF number.
So the greatest common factor 26409 and 26416 is 1.

Also check out the Least Common Multiple of 26409 and 26416