What is the Greatest Common Factor of 7353 and 7363?

Greatest common factor (GCF) of 7353 and 7363 is 1.

GCF(7353,7363) = 1

We will now calculate the prime factors of 7353 and 7363, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7353 and 7363.

How to find the GCF of 7353 and 7363?

We will first find the prime factorization of 7353 and 7363. After we will calculate the factors of 7353 and 7363 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 7363

Prime factors of 7363 are 37, 199. Prime factorization of 7363 in exponential form is:

7363 = 37¹ × 199¹

Step-3: Factors of 7353

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

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

Step-4: Factors of 7363

List of positive integer factors of 7363 that divides 7353 without a remainder.

1, 37, 199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7353 and 7363. The biggest common factor number is the GCF number.
So the greatest common factor 7353 and 7363 is 1.

Also check out the Least Common Multiple of 7353 and 7363