What is the Greatest Common Factor of 7320 and 7335?

Greatest common factor (GCF) of 7320 and 7335 is 15.

GCF(7320,7335) = 15

We will now calculate the prime factors of 7320 and 7335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7320 and 7335.

How to find the GCF of 7320 and 7335?

We will first find the prime factorization of 7320 and 7335. After we will calculate the factors of 7320 and 7335 and find the biggest common factor number .

Step-1: Prime Factorization of 7320

Prime factors of 7320 are 2, 3, 5, 61. Prime factorization of 7320 in exponential form is:

7320 = 2³ × 3¹ × 5¹ × 61¹

Step-2: Prime Factorization of 7335

Prime factors of 7335 are 3, 5, 163. Prime factorization of 7335 in exponential form is:

7335 = 3² × 5¹ × 163¹

Step-3: Factors of 7320

List of positive integer factors of 7320 that divides 7320 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660

Step-4: Factors of 7335

List of positive integer factors of 7335 that divides 7320 without a remainder.

1, 3, 5, 9, 15, 45, 163, 489, 815, 1467, 2445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7320 and 7335. The biggest common factor number is the GCF number.
So the greatest common factor 7320 and 7335 is 15.

Also check out the Least Common Multiple of 7320 and 7335