What is the Greatest Common Factor of 23829 and 23844?

Greatest common factor (GCF) of 23829 and 23844 is 3.

GCF(23829,23844) = 3

We will now calculate the prime factors of 23829 and 23844, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23829 and 23844.

How to find the GCF of 23829 and 23844?

We will first find the prime factorization of 23829 and 23844. After we will calculate the factors of 23829 and 23844 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 23844

Prime factors of 23844 are 2, 3, 1987. Prime factorization of 23844 in exponential form is:

23844 = 2² × 3¹ × 1987¹

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 23844

List of positive integer factors of 23844 that divides 23829 without a remainder.

1, 2, 3, 4, 6, 12, 1987, 3974, 5961, 7948, 11922

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23829 and 23844. The biggest common factor number is the GCF number.
So the greatest common factor 23829 and 23844 is 3.

Also check out the Least Common Multiple of 23829 and 23844