What is the Greatest Common Factor of 7300 and 7305?

Greatest common factor (GCF) of 7300 and 7305 is 5.

GCF(7300,7305) = 5

We will now calculate the prime factors of 7300 and 7305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7300 and 7305.

How to find the GCF of 7300 and 7305?

We will first find the prime factorization of 7300 and 7305. After we will calculate the factors of 7300 and 7305 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 7305

Prime factors of 7305 are 3, 5, 487. Prime factorization of 7305 in exponential form is:

7305 = 3¹ × 5¹ × 487¹

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 7305

List of positive integer factors of 7305 that divides 7300 without a remainder.

1, 3, 5, 15, 487, 1461, 2435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7300 and 7305. The biggest common factor number is the GCF number.
So the greatest common factor 7300 and 7305 is 5.

Also check out the Least Common Multiple of 7300 and 7305