What is the Greatest Common Factor of 7299 and 7315?

Greatest common factor (GCF) of 7299 and 7315 is 1.

GCF(7299,7315) = 1

We will now calculate the prime factors of 7299 and 7315, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7299 and 7315.

How to find the GCF of 7299 and 7315?

We will first find the prime factorization of 7299 and 7315. After we will calculate the factors of 7299 and 7315 and find the biggest common factor number .

Step-1: Prime Factorization of 7299

Prime factors of 7299 are 3, 811. Prime factorization of 7299 in exponential form is:

7299 = 3² × 811¹

Step-2: 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-3: Factors of 7299

List of positive integer factors of 7299 that divides 7299 without a remainder.

1, 3, 9, 811, 2433

Step-4: Factors of 7315

List of positive integer factors of 7315 that divides 7299 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7299 and 7315. The biggest common factor number is the GCF number.
So the greatest common factor 7299 and 7315 is 1.

Also check out the Least Common Multiple of 7299 and 7315