What is the Greatest Common Factor of 7338 and 7344?

Greatest common factor (GCF) of 7338 and 7344 is 6.

GCF(7338,7344) = 6

We will now calculate the prime factors of 7338 and 7344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7338 and 7344.

How to find the GCF of 7338 and 7344?

We will first find the prime factorization of 7338 and 7344. After we will calculate the factors of 7338 and 7344 and find the biggest common factor number .

Step-1: Prime Factorization of 7338

Prime factors of 7338 are 2, 3, 1223. Prime factorization of 7338 in exponential form is:

7338 = 2¹ × 3¹ × 1223¹

Step-2: Prime Factorization of 7344

Prime factors of 7344 are 2, 3, 17. Prime factorization of 7344 in exponential form is:

7344 = 2⁴ × 3³ × 17¹

Step-3: Factors of 7338

List of positive integer factors of 7338 that divides 7338 without a remainder.

1, 2, 3, 6, 1223, 2446, 3669

Step-4: Factors of 7344

List of positive integer factors of 7344 that divides 7338 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7338 and 7344. The biggest common factor number is the GCF number.
So the greatest common factor 7338 and 7344 is 6.

Also check out the Least Common Multiple of 7338 and 7344