What is the Greatest Common Factor of 13224 and 13243?

Greatest common factor (GCF) of 13224 and 13243 is 19.

GCF(13224,13243) = 19

We will now calculate the prime factors of 13224 and 13243, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13224 and 13243.

How to find the GCF of 13224 and 13243?

We will first find the prime factorization of 13224 and 13243. After we will calculate the factors of 13224 and 13243 and find the biggest common factor number .

Step-1: Prime Factorization of 13224

Prime factors of 13224 are 2, 3, 19, 29. Prime factorization of 13224 in exponential form is:

13224 = 2³ × 3¹ × 19¹ × 29¹

Step-2: Prime Factorization of 13243

Prime factors of 13243 are 17, 19, 41. Prime factorization of 13243 in exponential form is:

13243 = 17¹ × 19¹ × 41¹

Step-3: Factors of 13224

List of positive integer factors of 13224 that divides 13224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612

Step-4: Factors of 13243

List of positive integer factors of 13243 that divides 13224 without a remainder.

1, 17, 19, 41, 323, 697, 779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13224 and 13243. The biggest common factor number is the GCF number.
So the greatest common factor 13224 and 13243 is 19.

Also check out the Least Common Multiple of 13224 and 13243