What is the Greatest Common Factor of 13224 and 13242?

Greatest common factor (GCF) of 13224 and 13242 is 6.

GCF(13224,13242) = 6

We will now calculate the prime factors of 13224 and 13242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13224 and 13242.

How to find the GCF of 13224 and 13242?

We will first find the prime factorization of 13224 and 13242. After we will calculate the factors of 13224 and 13242 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 13242

Prime factors of 13242 are 2, 3, 2207. Prime factorization of 13242 in exponential form is:

13242 = 2¹ × 3¹ × 2207¹

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 13242

List of positive integer factors of 13242 that divides 13224 without a remainder.

1, 2, 3, 6, 2207, 4414, 6621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13224 and 13242. The biggest common factor number is the GCF number.
So the greatest common factor 13224 and 13242 is 6.

Also check out the Least Common Multiple of 13224 and 13242