What is the Greatest Common Factor of 13400 and 13416?

Greatest common factor (GCF) of 13400 and 13416 is 8.

GCF(13400,13416) = 8

We will now calculate the prime factors of 13400 and 13416, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13400 and 13416.

How to find the GCF of 13400 and 13416?

We will first find the prime factorization of 13400 and 13416. After we will calculate the factors of 13400 and 13416 and find the biggest common factor number .

Step-1: Prime Factorization of 13400

Prime factors of 13400 are 2, 5, 67. Prime factorization of 13400 in exponential form is:

13400 = 2³ × 5² × 67¹

Step-2: 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-3: Factors of 13400

List of positive integer factors of 13400 that divides 13400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 67, 100, 134, 200, 268, 335, 536, 670, 1340, 1675, 2680, 3350, 6700

Step-4: Factors of 13416

List of positive integer factors of 13416 that divides 13400 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13400 and 13416. The biggest common factor number is the GCF number.
So the greatest common factor 13400 and 13416 is 8.

Also check out the Least Common Multiple of 13400 and 13416