What is the Greatest Common Factor of 23814 and 23833?

Greatest common factor (GCF) of 23814 and 23833 is 1.

GCF(23814,23833) = 1

We will now calculate the prime factors of 23814 and 23833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23814 and 23833.

How to find the GCF of 23814 and 23833?

We will first find the prime factorization of 23814 and 23833. After we will calculate the factors of 23814 and 23833 and find the biggest common factor number .

Step-1: Prime Factorization of 23814

Prime factors of 23814 are 2, 3, 7. Prime factorization of 23814 in exponential form is:

23814 = 2¹ × 3⁵ × 7²

Step-2: Prime Factorization of 23833

Prime factors of 23833 are 23833. Prime factorization of 23833 in exponential form is:

23833 = 23833¹

Step-3: Factors of 23814

List of positive integer factors of 23814 that divides 23814 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 49, 54, 63, 81, 98, 126, 147, 162, 189, 243, 294, 378, 441, 486, 567, 882, 1134, 1323, 1701, 2646, 3402, 3969, 7938, 11907

Step-4: Factors of 23833

List of positive integer factors of 23833 that divides 23814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23814 and 23833. The biggest common factor number is the GCF number.
So the greatest common factor 23814 and 23833 is 1.

Also check out the Least Common Multiple of 23814 and 23833