What is the Greatest Common Factor of 13446 and 13452?

Greatest common factor (GCF) of 13446 and 13452 is 6.

GCF(13446,13452) = 6

We will now calculate the prime factors of 13446 and 13452, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13446 and 13452.

How to find the GCF of 13446 and 13452?

We will first find the prime factorization of 13446 and 13452. After we will calculate the factors of 13446 and 13452 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 13452

Prime factors of 13452 are 2, 3, 19, 59. Prime factorization of 13452 in exponential form is:

13452 = 2² × 3¹ × 19¹ × 59¹

Step-3: Factors of 13446

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

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

Step-4: Factors of 13452

List of positive integer factors of 13452 that divides 13446 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 59, 76, 114, 118, 177, 228, 236, 354, 708, 1121, 2242, 3363, 4484, 6726

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13446 and 13452. The biggest common factor number is the GCF number.
So the greatest common factor 13446 and 13452 is 6.

Also check out the Least Common Multiple of 13446 and 13452