What is the Greatest Common Factor of 7315 and 7321?

Greatest common factor (GCF) of 7315 and 7321 is 1.

GCF(7315,7321) = 1

We will now calculate the prime factors of 7315 and 7321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7315 and 7321.

How to find the GCF of 7315 and 7321?

We will first find the prime factorization of 7315 and 7321. After we will calculate the factors of 7315 and 7321 and find the biggest common factor number .

Step-1: Prime Factorization of 7315

Prime factors of 7315 are 5, 7, 11, 19. Prime factorization of 7315 in exponential form is:

7315 = 5¹ × 7¹ × 11¹ × 19¹

Step-2: Prime Factorization of 7321

Prime factors of 7321 are 7321. Prime factorization of 7321 in exponential form is:

7321 = 7321¹

Step-3: Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463

Step-4: Factors of 7321

List of positive integer factors of 7321 that divides 7315 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7315 and 7321. The biggest common factor number is the GCF number.
So the greatest common factor 7315 and 7321 is 1.

Also check out the Least Common Multiple of 7315 and 7321