What is the Greatest Common Factor of 13416 and 13434?

Greatest common factor (GCF) of 13416 and 13434 is 6.

GCF(13416,13434) = 6

We will now calculate the prime factors of 13416 and 13434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13416 and 13434.

How to find the GCF of 13416 and 13434?

We will first find the prime factorization of 13416 and 13434. After we will calculate the factors of 13416 and 13434 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 13434

Prime factors of 13434 are 2, 3, 2239. Prime factorization of 13434 in exponential form is:

13434 = 2¹ × 3¹ × 2239¹

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 13434

List of positive integer factors of 13434 that divides 13416 without a remainder.

1, 2, 3, 6, 2239, 4478, 6717

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13416 and 13434. The biggest common factor number is the GCF number.
So the greatest common factor 13416 and 13434 is 6.

Also check out the Least Common Multiple of 13416 and 13434