What is the Greatest Common Factor of 22373 and 22386?

Greatest common factor (GCF) of 22373 and 22386 is 13.

GCF(22373,22386) = 13

We will now calculate the prime factors of 22373 and 22386, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22373 and 22386.

How to find the GCF of 22373 and 22386?

We will first find the prime factorization of 22373 and 22386. After we will calculate the factors of 22373 and 22386 and find the biggest common factor number .

Step-1: Prime Factorization of 22373

Prime factors of 22373 are 13, 1721. Prime factorization of 22373 in exponential form is:

22373 = 13¹ × 1721¹

Step-2: 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-3: Factors of 22373

List of positive integer factors of 22373 that divides 22373 without a remainder.

1, 13, 1721

Step-4: Factors of 22386

List of positive integer factors of 22386 that divides 22373 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22373 and 22386. The biggest common factor number is the GCF number.
So the greatest common factor 22373 and 22386 is 13.

Also check out the Least Common Multiple of 22373 and 22386