What is the Greatest Common Factor of 23331 and 23346?

Greatest common factor (GCF) of 23331 and 23346 is 3.

GCF(23331,23346) = 3

We will now calculate the prime factors of 23331 and 23346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23331 and 23346.

How to find the GCF of 23331 and 23346?

We will first find the prime factorization of 23331 and 23346. After we will calculate the factors of 23331 and 23346 and find the biggest common factor number .

Step-1: Prime Factorization of 23331

Prime factors of 23331 are 3, 7, 11, 101. Prime factorization of 23331 in exponential form is:

23331 = 3¹ × 7¹ × 11¹ × 101¹

Step-2: Prime Factorization of 23346

Prime factors of 23346 are 2, 3, 1297. Prime factorization of 23346 in exponential form is:

23346 = 2¹ × 3² × 1297¹

Step-3: Factors of 23331

List of positive integer factors of 23331 that divides 23331 without a remainder.

1, 3, 7, 11, 21, 33, 77, 101, 231, 303, 707, 1111, 2121, 3333, 7777

Step-4: Factors of 23346

List of positive integer factors of 23346 that divides 23331 without a remainder.

1, 2, 3, 6, 9, 18, 1297, 2594, 3891, 7782, 11673

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23331 and 23346. The biggest common factor number is the GCF number.
So the greatest common factor 23331 and 23346 is 3.

Also check out the Least Common Multiple of 23331 and 23346