What is the Greatest Common Factor of 23349 and 23353?

Greatest common factor (GCF) of 23349 and 23353 is 1.

GCF(23349,23353) = 1

We will now calculate the prime factors of 23349 and 23353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23349 and 23353.

How to find the GCF of 23349 and 23353?

We will first find the prime factorization of 23349 and 23353. After we will calculate the factors of 23349 and 23353 and find the biggest common factor number .

Step-1: Prime Factorization of 23349

Prime factors of 23349 are 3, 43, 181. Prime factorization of 23349 in exponential form is:

23349 = 3¹ × 43¹ × 181¹

Step-2: Prime Factorization of 23353

Prime factors of 23353 are 11, 193. Prime factorization of 23353 in exponential form is:

23353 = 11² × 193¹

Step-3: Factors of 23349

List of positive integer factors of 23349 that divides 23349 without a remainder.

1, 3, 43, 129, 181, 543, 7783

Step-4: Factors of 23353

List of positive integer factors of 23353 that divides 23349 without a remainder.

1, 11, 121, 193, 2123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23349 and 23353. The biggest common factor number is the GCF number.
So the greatest common factor 23349 and 23353 is 1.

Also check out the Least Common Multiple of 23349 and 23353