What is the Greatest Common Factor of 7305 and 7313?

Greatest common factor (GCF) of 7305 and 7313 is 1.

GCF(7305,7313) = 1

We will now calculate the prime factors of 7305 and 7313, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7305 and 7313.

How to find the GCF of 7305 and 7313?

We will first find the prime factorization of 7305 and 7313. After we will calculate the factors of 7305 and 7313 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7313

Prime factors of 7313 are 71, 103. Prime factorization of 7313 in exponential form is:

7313 = 71¹ × 103¹

Step-3: Factors of 7305

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

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

Step-4: Factors of 7313

List of positive integer factors of 7313 that divides 7305 without a remainder.

1, 71, 103

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7305 and 7313. The biggest common factor number is the GCF number.
So the greatest common factor 7305 and 7313 is 1.

Also check out the Least Common Multiple of 7305 and 7313