What is the Greatest Common Factor of 7322 and 7328?

Greatest common factor (GCF) of 7322 and 7328 is 2.

GCF(7322,7328) = 2

We will now calculate the prime factors of 7322 and 7328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7322 and 7328.

How to find the GCF of 7322 and 7328?

We will first find the prime factorization of 7322 and 7328. After we will calculate the factors of 7322 and 7328 and find the biggest common factor number .

Step-1: Prime Factorization of 7322

Prime factors of 7322 are 2, 7, 523. Prime factorization of 7322 in exponential form is:

7322 = 2¹ × 7¹ × 523¹

Step-2: Prime Factorization of 7328

Prime factors of 7328 are 2, 229. Prime factorization of 7328 in exponential form is:

7328 = 2⁵ × 229¹

Step-3: Factors of 7322

List of positive integer factors of 7322 that divides 7322 without a remainder.

1, 2, 7, 14, 523, 1046, 3661

Step-4: Factors of 7328

List of positive integer factors of 7328 that divides 7322 without a remainder.

1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7322 and 7328. The biggest common factor number is the GCF number.
So the greatest common factor 7322 and 7328 is 2.

Also check out the Least Common Multiple of 7322 and 7328