What is the Greatest Common Factor of 23829 and 23835?

Greatest common factor (GCF) of 23829 and 23835 is 3.

GCF(23829,23835) = 3

We will now calculate the prime factors of 23829 and 23835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23829 and 23835.

How to find the GCF of 23829 and 23835?

We will first find the prime factorization of 23829 and 23835. After we will calculate the factors of 23829 and 23835 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 23835

Prime factors of 23835 are 3, 5, 7, 227. Prime factorization of 23835 in exponential form is:

23835 = 3¹ × 5¹ × 7¹ × 227¹

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 23835

List of positive integer factors of 23835 that divides 23829 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 227, 681, 1135, 1589, 3405, 4767, 7945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23829 and 23835. The biggest common factor number is the GCF number.
So the greatest common factor 23829 and 23835 is 3.

Also check out the Least Common Multiple of 23829 and 23835