What is the Greatest Common Factor of 13344 and 13350?

Greatest common factor (GCF) of 13344 and 13350 is 6.

GCF(13344,13350) = 6

We will now calculate the prime factors of 13344 and 13350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13344 and 13350.

How to find the GCF of 13344 and 13350?

We will first find the prime factorization of 13344 and 13350. After we will calculate the factors of 13344 and 13350 and find the biggest common factor number .

Step-1: Prime Factorization of 13344

Prime factors of 13344 are 2, 3, 139. Prime factorization of 13344 in exponential form is:

13344 = 2⁵ × 3¹ × 139¹

Step-2: Prime Factorization of 13350

Prime factors of 13350 are 2, 3, 5, 89. Prime factorization of 13350 in exponential form is:

13350 = 2¹ × 3¹ × 5² × 89¹

Step-3: Factors of 13344

List of positive integer factors of 13344 that divides 13344 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672

Step-4: Factors of 13350

List of positive integer factors of 13350 that divides 13344 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 89, 150, 178, 267, 445, 534, 890, 1335, 2225, 2670, 4450, 6675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13344 and 13350. The biggest common factor number is the GCF number.
So the greatest common factor 13344 and 13350 is 6.

Also check out the Least Common Multiple of 13344 and 13350