What is the Greatest Common Factor of 22386 and 22399?

Greatest common factor (GCF) of 22386 and 22399 is 13.

GCF(22386,22399) = 13

We will now calculate the prime factors of 22386 and 22399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22386 and 22399.

How to find the GCF of 22386 and 22399?

We will first find the prime factorization of 22386 and 22399. After we will calculate the factors of 22386 and 22399 and find the biggest common factor number .

Step-1: Prime Factorization of 22386

Prime factors of 22386 are 2, 3, 7, 13, 41. Prime factorization of 22386 in exponential form is:

22386 = 2¹ × 3¹ × 7¹ × 13¹ × 41¹

Step-2: Prime Factorization of 22399

Prime factors of 22399 are 13, 1723. Prime factorization of 22399 in exponential form is:

22399 = 13¹ × 1723¹

Step-3: Factors of 22386

List of positive integer factors of 22386 that divides 22386 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 41, 42, 78, 82, 91, 123, 182, 246, 273, 287, 533, 546, 574, 861, 1066, 1599, 1722, 3198, 3731, 7462, 11193

Step-4: Factors of 22399

List of positive integer factors of 22399 that divides 22386 without a remainder.

1, 13, 1723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22386 and 22399. The biggest common factor number is the GCF number.
So the greatest common factor 22386 and 22399 is 13.

Also check out the Least Common Multiple of 22386 and 22399