What is the Greatest Common Factor of 7344 and 7360?

Greatest common factor (GCF) of 7344 and 7360 is 16.

GCF(7344,7360) = 16

We will now calculate the prime factors of 7344 and 7360, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7344 and 7360.

How to find the GCF of 7344 and 7360?

We will first find the prime factorization of 7344 and 7360. After we will calculate the factors of 7344 and 7360 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 7360

Prime factors of 7360 are 2, 5, 23. Prime factorization of 7360 in exponential form is:

7360 = 2⁶ × 5¹ × 23¹

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 7360

List of positive integer factors of 7360 that divides 7344 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 160, 184, 230, 320, 368, 460, 736, 920, 1472, 1840, 3680

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7344 and 7360. The biggest common factor number is the GCF number.
So the greatest common factor 7344 and 7360 is 16.

Also check out the Least Common Multiple of 7344 and 7360