What is the Greatest Common Factor of 23338 and 23345?

Greatest common factor (GCF) of 23338 and 23345 is 7.

GCF(23338,23345) = 7

We will now calculate the prime factors of 23338 and 23345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23338 and 23345.

How to find the GCF of 23338 and 23345?

We will first find the prime factorization of 23338 and 23345. After we will calculate the factors of 23338 and 23345 and find the biggest common factor number .

Step-1: Prime Factorization of 23338

Prime factors of 23338 are 2, 7, 1667. Prime factorization of 23338 in exponential form is:

23338 = 2¹ × 7¹ × 1667¹

Step-2: Prime Factorization of 23345

Prime factors of 23345 are 5, 7, 23, 29. Prime factorization of 23345 in exponential form is:

23345 = 5¹ × 7¹ × 23¹ × 29¹

Step-3: Factors of 23338

List of positive integer factors of 23338 that divides 23338 without a remainder.

1, 2, 7, 14, 1667, 3334, 11669

Step-4: Factors of 23345

List of positive integer factors of 23345 that divides 23338 without a remainder.

1, 5, 7, 23, 29, 35, 115, 145, 161, 203, 667, 805, 1015, 3335, 4669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23338 and 23345. The biggest common factor number is the GCF number.
So the greatest common factor 23338 and 23345 is 7.

Also check out the Least Common Multiple of 23338 and 23345