What is the Greatest Common Factor of 26406 and 26415?

Greatest common factor (GCF) of 26406 and 26415 is 9.

GCF(26406,26415) = 9

We will now calculate the prime factors of 26406 and 26415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26406 and 26415.

How to find the GCF of 26406 and 26415?

We will first find the prime factorization of 26406 and 26415. After we will calculate the factors of 26406 and 26415 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26415

Prime factors of 26415 are 3, 5, 587. Prime factorization of 26415 in exponential form is:

26415 = 3² × 5¹ × 587¹

Step-3: Factors of 26406

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

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

Step-4: Factors of 26415

List of positive integer factors of 26415 that divides 26406 without a remainder.

1, 3, 5, 9, 15, 45, 587, 1761, 2935, 5283, 8805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26406 and 26415. The biggest common factor number is the GCF number.
So the greatest common factor 26406 and 26415 is 9.

Also check out the Least Common Multiple of 26406 and 26415