What is the Greatest Common Factor of 13416 and 13428?

Greatest common factor (GCF) of 13416 and 13428 is 12.

GCF(13416,13428) = 12

We will now calculate the prime factors of 13416 and 13428, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13416 and 13428.

How to find the GCF of 13416 and 13428?

We will first find the prime factorization of 13416 and 13428. After we will calculate the factors of 13416 and 13428 and find the biggest common factor number .

Step-1: Prime Factorization of 13416

Prime factors of 13416 are 2, 3, 13, 43. Prime factorization of 13416 in exponential form is:

13416 = 2³ × 3¹ × 13¹ × 43¹

Step-2: Prime Factorization of 13428

Prime factors of 13428 are 2, 3, 373. Prime factorization of 13428 in exponential form is:

13428 = 2² × 3² × 373¹

Step-3: Factors of 13416

List of positive integer factors of 13416 that divides 13416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 43, 52, 78, 86, 104, 129, 156, 172, 258, 312, 344, 516, 559, 1032, 1118, 1677, 2236, 3354, 4472, 6708

Step-4: Factors of 13428

List of positive integer factors of 13428 that divides 13416 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 373, 746, 1119, 1492, 2238, 3357, 4476, 6714

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13416 and 13428. The biggest common factor number is the GCF number.
So the greatest common factor 13416 and 13428 is 12.

Also check out the Least Common Multiple of 13416 and 13428