What is the Greatest Common Factor of 23829 and 23839?

Greatest common factor (GCF) of 23829 and 23839 is 1.

GCF(23829,23839) = 1

We will now calculate the prime factors of 23829 and 23839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23829 and 23839.

How to find the GCF of 23829 and 23839?

We will first find the prime factorization of 23829 and 23839. After we will calculate the factors of 23829 and 23839 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23839

Prime factors of 23839 are 31, 769. Prime factorization of 23839 in exponential form is:

23839 = 31¹ × 769¹

Step-3: Factors of 23829

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

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

Step-4: Factors of 23839

List of positive integer factors of 23839 that divides 23829 without a remainder.

1, 31, 769

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23829 and 23839. The biggest common factor number is the GCF number.
So the greatest common factor 23829 and 23839 is 1.

Also check out the Least Common Multiple of 23829 and 23839