What is the Greatest Common Factor of 23348 and 23353?

Greatest common factor (GCF) of 23348 and 23353 is 1.

GCF(23348,23353) = 1

We will now calculate the prime factors of 23348 and 23353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23348 and 23353.

How to find the GCF of 23348 and 23353?

We will first find the prime factorization of 23348 and 23353. After we will calculate the factors of 23348 and 23353 and find the biggest common factor number .

Step-1: Prime Factorization of 23348

Prime factors of 23348 are 2, 13, 449. Prime factorization of 23348 in exponential form is:

23348 = 2² × 13¹ × 449¹

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 23348

List of positive integer factors of 23348 that divides 23348 without a remainder.

1, 2, 4, 13, 26, 52, 449, 898, 1796, 5837, 11674

Step-4: Factors of 23353

List of positive integer factors of 23353 that divides 23348 without a remainder.

1, 11, 121, 193, 2123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23348 and 23353. The biggest common factor number is the GCF number.
So the greatest common factor 23348 and 23353 is 1.

Also check out the Least Common Multiple of 23348 and 23353