What is the Greatest Common Factor of 7344 and 7356?

Greatest common factor (GCF) of 7344 and 7356 is 12.

GCF(7344,7356) = 12

We will now calculate the prime factors of 7344 and 7356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7344 and 7356.

How to find the GCF of 7344 and 7356?

We will first find the prime factorization of 7344 and 7356. After we will calculate the factors of 7344 and 7356 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7356

Prime factors of 7356 are 2, 3, 613. Prime factorization of 7356 in exponential form is:

7356 = 2² × 3¹ × 613¹

Step-3: Factors of 7344

List of positive integer factors of 7344 that divides 7344 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

Step-4: Factors of 7356

List of positive integer factors of 7356 that divides 7344 without a remainder.

1, 2, 3, 4, 6, 12, 613, 1226, 1839, 2452, 3678

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7344 and 7356. The biggest common factor number is the GCF number.
So the greatest common factor 7344 and 7356 is 12.

Also check out the Least Common Multiple of 7344 and 7356