What is the Greatest Common Factor of 26605 and 26622?

Greatest common factor (GCF) of 26605 and 26622 is 17.

GCF(26605,26622) = 17

We will now calculate the prime factors of 26605 and 26622, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26605 and 26622.

How to find the GCF of 26605 and 26622?

We will first find the prime factorization of 26605 and 26622. After we will calculate the factors of 26605 and 26622 and find the biggest common factor number .

Step-1: Prime Factorization of 26605

Prime factors of 26605 are 5, 17, 313. Prime factorization of 26605 in exponential form is:

26605 = 5¹ × 17¹ × 313¹

Step-2: Prime Factorization of 26622

Prime factors of 26622 are 2, 3, 17, 29. Prime factorization of 26622 in exponential form is:

26622 = 2¹ × 3³ × 17¹ × 29¹

Step-3: Factors of 26605

List of positive integer factors of 26605 that divides 26605 without a remainder.

1, 5, 17, 85, 313, 1565, 5321

Step-4: Factors of 26622

List of positive integer factors of 26622 that divides 26605 without a remainder.

1, 2, 3, 6, 9, 17, 18, 27, 29, 34, 51, 54, 58, 87, 102, 153, 174, 261, 306, 459, 493, 522, 783, 918, 986, 1479, 1566, 2958, 4437, 8874, 13311

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26605 and 26622. The biggest common factor number is the GCF number.
So the greatest common factor 26605 and 26622 is 17.

Also check out the Least Common Multiple of 26605 and 26622