What is the Greatest Common Factor of 23335 and 23348?

Greatest common factor (GCF) of 23335 and 23348 is 13.

GCF(23335,23348) = 13

We will now calculate the prime factors of 23335 and 23348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23335 and 23348.

How to find the GCF of 23335 and 23348?

We will first find the prime factorization of 23335 and 23348. After we will calculate the factors of 23335 and 23348 and find the biggest common factor number .

Step-1: Prime Factorization of 23335

Prime factors of 23335 are 5, 13, 359. Prime factorization of 23335 in exponential form is:

23335 = 5¹ × 13¹ × 359¹

Step-2: 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-3: Factors of 23335

List of positive integer factors of 23335 that divides 23335 without a remainder.

1, 5, 13, 65, 359, 1795, 4667

Step-4: Factors of 23348

List of positive integer factors of 23348 that divides 23335 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23335 and 23348. The biggest common factor number is the GCF number.
So the greatest common factor 23335 and 23348 is 13.

Also check out the Least Common Multiple of 23335 and 23348