What is the Greatest Common Factor of 23829 and 23834?

Greatest common factor (GCF) of 23829 and 23834 is 1.

GCF(23829,23834) = 1

We will now calculate the prime factors of 23829 and 23834, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23829 and 23834.

How to find the GCF of 23829 and 23834?

We will first find the prime factorization of 23829 and 23834. After we will calculate the factors of 23829 and 23834 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 23834

Prime factors of 23834 are 2, 17, 701. Prime factorization of 23834 in exponential form is:

23834 = 2¹ × 17¹ × 701¹

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 23834

List of positive integer factors of 23834 that divides 23829 without a remainder.

1, 2, 17, 34, 701, 1402, 11917

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23829 and 23834. The biggest common factor number is the GCF number.
So the greatest common factor 23829 and 23834 is 1.

Also check out the Least Common Multiple of 23829 and 23834