What is the Greatest Common Factor of 7308 and 7321?

Greatest common factor (GCF) of 7308 and 7321 is 1.

GCF(7308,7321) = 1

We will now calculate the prime factors of 7308 and 7321, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7308 and 7321.

How to find the GCF of 7308 and 7321?

We will first find the prime factorization of 7308 and 7321. After we will calculate the factors of 7308 and 7321 and find the biggest common factor number .

Step-1: Prime Factorization of 7308

Prime factors of 7308 are 2, 3, 7, 29. Prime factorization of 7308 in exponential form is:

7308 = 2² × 3² × 7¹ × 29¹

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 7308

List of positive integer factors of 7308 that divides 7308 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 29, 36, 42, 58, 63, 84, 87, 116, 126, 174, 203, 252, 261, 348, 406, 522, 609, 812, 1044, 1218, 1827, 2436, 3654

Step-4: Factors of 7321

List of positive integer factors of 7321 that divides 7308 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7308 and 7321. The biggest common factor number is the GCF number.
So the greatest common factor 7308 and 7321 is 1.

Also check out the Least Common Multiple of 7308 and 7321