What is the Greatest Common Factor of 26392 and 26406?

Greatest common factor (GCF) of 26392 and 26406 is 2.

GCF(26392,26406) = 2

We will now calculate the prime factors of 26392 and 26406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26392 and 26406.

How to find the GCF of 26392 and 26406?

We will first find the prime factorization of 26392 and 26406. After we will calculate the factors of 26392 and 26406 and find the biggest common factor number .

Step-1: Prime Factorization of 26392

Prime factors of 26392 are 2, 3299. Prime factorization of 26392 in exponential form is:

26392 = 2³ × 3299¹

Step-2: Prime Factorization of 26406

Prime factors of 26406 are 2, 3, 163. Prime factorization of 26406 in exponential form is:

26406 = 2¹ × 3⁴ × 163¹

Step-3: Factors of 26392

List of positive integer factors of 26392 that divides 26392 without a remainder.

1, 2, 4, 8, 3299, 6598, 13196

Step-4: Factors of 26406

List of positive integer factors of 26406 that divides 26392 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 163, 326, 489, 978, 1467, 2934, 4401, 8802, 13203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26392 and 26406. The biggest common factor number is the GCF number.
So the greatest common factor 26392 and 26406 is 2.

Also check out the Least Common Multiple of 26392 and 26406