What is the Greatest Common Factor of 26307 and 26322?

Greatest common factor (GCF) of 26307 and 26322 is 3.

GCF(26307,26322) = 3

We will now calculate the prime factors of 26307 and 26322, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26307 and 26322.

How to find the GCF of 26307 and 26322?

We will first find the prime factorization of 26307 and 26322. After we will calculate the factors of 26307 and 26322 and find the biggest common factor number .

Step-1: Prime Factorization of 26307

Prime factors of 26307 are 3, 37, 79. Prime factorization of 26307 in exponential form is:

26307 = 3² × 37¹ × 79¹

Step-2: Prime Factorization of 26322

Prime factors of 26322 are 2, 3, 41, 107. Prime factorization of 26322 in exponential form is:

26322 = 2¹ × 3¹ × 41¹ × 107¹

Step-3: Factors of 26307

List of positive integer factors of 26307 that divides 26307 without a remainder.

1, 3, 9, 37, 79, 111, 237, 333, 711, 2923, 8769

Step-4: Factors of 26322

List of positive integer factors of 26322 that divides 26307 without a remainder.

1, 2, 3, 6, 41, 82, 107, 123, 214, 246, 321, 642, 4387, 8774, 13161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26307 and 26322. The biggest common factor number is the GCF number.
So the greatest common factor 26307 and 26322 is 3.

Also check out the Least Common Multiple of 26307 and 26322