What is the Greatest Common Factor of 7310 and 7324?

Greatest common factor (GCF) of 7310 and 7324 is 2.

GCF(7310,7324) = 2

We will now calculate the prime factors of 7310 and 7324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7310 and 7324.

How to find the GCF of 7310 and 7324?

We will first find the prime factorization of 7310 and 7324. After we will calculate the factors of 7310 and 7324 and find the biggest common factor number .

Step-1: Prime Factorization of 7310

Prime factors of 7310 are 2, 5, 17, 43. Prime factorization of 7310 in exponential form is:

7310 = 2¹ × 5¹ × 17¹ × 43¹

Step-2: Prime Factorization of 7324

Prime factors of 7324 are 2, 1831. Prime factorization of 7324 in exponential form is:

7324 = 2² × 1831¹

Step-3: Factors of 7310

List of positive integer factors of 7310 that divides 7310 without a remainder.

1, 2, 5, 10, 17, 34, 43, 85, 86, 170, 215, 430, 731, 1462, 3655

Step-4: Factors of 7324

List of positive integer factors of 7324 that divides 7310 without a remainder.

1, 2, 4, 1831, 3662

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7310 and 7324. The biggest common factor number is the GCF number.
So the greatest common factor 7310 and 7324 is 2.

Also check out the Least Common Multiple of 7310 and 7324