What is the Greatest Common Factor of 7315 and 7329?

Greatest common factor (GCF) of 7315 and 7329 is 7.

GCF(7315,7329) = 7

We will now calculate the prime factors of 7315 and 7329, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7315 and 7329.

How to find the GCF of 7315 and 7329?

We will first find the prime factorization of 7315 and 7329. After we will calculate the factors of 7315 and 7329 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 7329

Prime factors of 7329 are 3, 7, 349. Prime factorization of 7329 in exponential form is:

7329 = 3¹ × 7¹ × 349¹

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 7329

List of positive integer factors of 7329 that divides 7315 without a remainder.

1, 3, 7, 21, 349, 1047, 2443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7315 and 7329. The biggest common factor number is the GCF number.
So the greatest common factor 7315 and 7329 is 7.

Also check out the Least Common Multiple of 7315 and 7329