What is the Greatest Common Factor of 7320 and 7333?

Greatest common factor (GCF) of 7320 and 7333 is 1.

GCF(7320,7333) = 1

We will now calculate the prime factors of 7320 and 7333, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7320 and 7333.

How to find the GCF of 7320 and 7333?

We will first find the prime factorization of 7320 and 7333. After we will calculate the factors of 7320 and 7333 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 7333

Prime factors of 7333 are 7333. Prime factorization of 7333 in exponential form is:

7333 = 7333¹

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 7333

List of positive integer factors of 7333 that divides 7320 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7320 and 7333. The biggest common factor number is the GCF number.
So the greatest common factor 7320 and 7333 is 1.

Also check out the Least Common Multiple of 7320 and 7333