What is the Greatest Common Factor of 22386 and 22393?

Greatest common factor (GCF) of 22386 and 22393 is 7.

GCF(22386,22393) = 7

We will now calculate the prime factors of 22386 and 22393, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22386 and 22393.

How to find the GCF of 22386 and 22393?

We will first find the prime factorization of 22386 and 22393. After we will calculate the factors of 22386 and 22393 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 22393

Prime factors of 22393 are 7, 457. Prime factorization of 22393 in exponential form is:

22393 = 7² × 457¹

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 22393

List of positive integer factors of 22393 that divides 22386 without a remainder.

1, 7, 49, 457, 3199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22386 and 22393. The biggest common factor number is the GCF number.
So the greatest common factor 22386 and 22393 is 7.

Also check out the Least Common Multiple of 22386 and 22393