What is the Greatest Common Factor of 7302 and 7320?

Greatest common factor (GCF) of 7302 and 7320 is 6.

GCF(7302,7320) = 6

We will now calculate the prime factors of 7302 and 7320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7302 and 7320.

How to find the GCF of 7302 and 7320?

We will first find the prime factorization of 7302 and 7320. After we will calculate the factors of 7302 and 7320 and find the biggest common factor number .

Step-1: Prime Factorization of 7302

Prime factors of 7302 are 2, 3, 1217. Prime factorization of 7302 in exponential form is:

7302 = 2¹ × 3¹ × 1217¹

Step-2: 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-3: Factors of 7302

List of positive integer factors of 7302 that divides 7302 without a remainder.

1, 2, 3, 6, 1217, 2434, 3651

Step-4: Factors of 7320

List of positive integer factors of 7320 that divides 7302 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7302 and 7320. The biggest common factor number is the GCF number.
So the greatest common factor 7302 and 7320 is 6.

Also check out the Least Common Multiple of 7302 and 7320