What is the Greatest Common Factor of 13428 and 13446?

Greatest common factor (GCF) of 13428 and 13446 is 18.

GCF(13428,13446) = 18

We will now calculate the prime factors of 13428 and 13446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13428 and 13446.

How to find the GCF of 13428 and 13446?

We will first find the prime factorization of 13428 and 13446. After we will calculate the factors of 13428 and 13446 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13446

Prime factors of 13446 are 2, 3, 83. Prime factorization of 13446 in exponential form is:

13446 = 2¹ × 3⁴ × 83¹

Step-3: Factors of 13428

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

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

Step-4: Factors of 13446

List of positive integer factors of 13446 that divides 13428 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 83, 162, 166, 249, 498, 747, 1494, 2241, 4482, 6723

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13428 and 13446. The biggest common factor number is the GCF number.
So the greatest common factor 13428 and 13446 is 18.

Also check out the Least Common Multiple of 13428 and 13446