What is the Greatest Common Factor of 13432 and 13446?

Greatest common factor (GCF) of 13432 and 13446 is 2.

GCF(13432,13446) = 2

We will now calculate the prime factors of 13432 and 13446, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13432 and 13446.

How to find the GCF of 13432 and 13446?

We will first find the prime factorization of 13432 and 13446. After we will calculate the factors of 13432 and 13446 and find the biggest common factor number .

Step-1: Prime Factorization of 13432

Prime factors of 13432 are 2, 23, 73. Prime factorization of 13432 in exponential form is:

13432 = 2³ × 23¹ × 73¹

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 13432

List of positive integer factors of 13432 that divides 13432 without a remainder.

1, 2, 4, 8, 23, 46, 73, 92, 146, 184, 292, 584, 1679, 3358, 6716

Step-4: Factors of 13446

List of positive integer factors of 13446 that divides 13432 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 13432 and 13446. The biggest common factor number is the GCF number.
So the greatest common factor 13432 and 13446 is 2.

Also check out the Least Common Multiple of 13432 and 13446