What is the Greatest Common Factor of 7328 and 7336?

Greatest common factor (GCF) of 7328 and 7336 is 8.

GCF(7328,7336) = 8

We will now calculate the prime factors of 7328 and 7336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7328 and 7336.

How to find the GCF of 7328 and 7336?

We will first find the prime factorization of 7328 and 7336. After we will calculate the factors of 7328 and 7336 and find the biggest common factor number .

Step-1: Prime Factorization of 7328

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

7328 = 2⁵ × 229¹

Step-2: Prime Factorization of 7336

Prime factors of 7336 are 2, 7, 131. Prime factorization of 7336 in exponential form is:

7336 = 2³ × 7¹ × 131¹

Step-3: Factors of 7328

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

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

Step-4: Factors of 7336

List of positive integer factors of 7336 that divides 7328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 131, 262, 524, 917, 1048, 1834, 3668

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7328 and 7336. The biggest common factor number is the GCF number.
So the greatest common factor 7328 and 7336 is 8.

Also check out the Least Common Multiple of 7328 and 7336