What is the Greatest Common Factor of 7300 and 7320?

Greatest common factor (GCF) of 7300 and 7320 is 20.

GCF(7300,7320) = 20

We will now calculate the prime factors of 7300 and 7320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7300 and 7320.

How to find the GCF of 7300 and 7320?

We will first find the prime factorization of 7300 and 7320. After we will calculate the factors of 7300 and 7320 and find the biggest common factor number .

Step-1: Prime Factorization of 7300

Prime factors of 7300 are 2, 5, 73. Prime factorization of 7300 in exponential form is:

7300 = 2² × 5² × 73¹

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 7300

List of positive integer factors of 7300 that divides 7300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650

Step-4: Factors of 7320

List of positive integer factors of 7320 that divides 7300 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 7300 and 7320. The biggest common factor number is the GCF number.
So the greatest common factor 7300 and 7320 is 20.

Also check out the Least Common Multiple of 7300 and 7320