What is the Greatest Common Factor of 23814 and 23829?

Greatest common factor (GCF) of 23814 and 23829 is 3.

GCF(23814,23829) = 3

We will now calculate the prime factors of 23814 and 23829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23814 and 23829.

How to find the GCF of 23814 and 23829?

We will first find the prime factorization of 23814 and 23829. After we will calculate the factors of 23814 and 23829 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 23829

Prime factors of 23829 are 3, 13, 47. Prime factorization of 23829 in exponential form is:

23829 = 3¹ × 13² × 47¹

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 23829

List of positive integer factors of 23829 that divides 23814 without a remainder.

1, 3, 13, 39, 47, 141, 169, 507, 611, 1833, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23814 and 23829. The biggest common factor number is the GCF number.
So the greatest common factor 23814 and 23829 is 3.

Also check out the Least Common Multiple of 23814 and 23829