What is the Greatest Common Factor of 7334 and 7353?

Greatest common factor (GCF) of 7334 and 7353 is 19.

GCF(7334,7353) = 19

We will now calculate the prime factors of 7334 and 7353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7334 and 7353.

How to find the GCF of 7334 and 7353?

We will first find the prime factorization of 7334 and 7353. After we will calculate the factors of 7334 and 7353 and find the biggest common factor number .

Step-1: Prime Factorization of 7334

Prime factors of 7334 are 2, 19, 193. Prime factorization of 7334 in exponential form is:

7334 = 2¹ × 19¹ × 193¹

Step-2: Prime Factorization of 7353

Prime factors of 7353 are 3, 19, 43. Prime factorization of 7353 in exponential form is:

7353 = 3² × 19¹ × 43¹

Step-3: Factors of 7334

List of positive integer factors of 7334 that divides 7334 without a remainder.

1, 2, 19, 38, 193, 386, 3667

Step-4: Factors of 7353

List of positive integer factors of 7353 that divides 7334 without a remainder.

1, 3, 9, 19, 43, 57, 129, 171, 387, 817, 2451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7334 and 7353. The biggest common factor number is the GCF number.
So the greatest common factor 7334 and 7353 is 19.

Also check out the Least Common Multiple of 7334 and 7353