What is the Greatest Common Factor of 23331 and 23342?

Greatest common factor (GCF) of 23331 and 23342 is 11.

GCF(23331,23342) = 11

We will now calculate the prime factors of 23331 and 23342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23331 and 23342.

How to find the GCF of 23331 and 23342?

We will first find the prime factorization of 23331 and 23342. After we will calculate the factors of 23331 and 23342 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 23342

Prime factors of 23342 are 2, 11, 1061. Prime factorization of 23342 in exponential form is:

23342 = 2¹ × 11¹ × 1061¹

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 23342

List of positive integer factors of 23342 that divides 23331 without a remainder.

1, 2, 11, 22, 1061, 2122, 11671

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23331 and 23342. The biggest common factor number is the GCF number.
So the greatest common factor 23331 and 23342 is 11.

Also check out the Least Common Multiple of 23331 and 23342