What is the Greatest Common Factor of 23817 and 23832?

Greatest common factor (GCF) of 23817 and 23832 is 3.

GCF(23817,23832) = 3

We will now calculate the prime factors of 23817 and 23832, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23817 and 23832.

How to find the GCF of 23817 and 23832?

We will first find the prime factorization of 23817 and 23832. After we will calculate the factors of 23817 and 23832 and find the biggest common factor number .

Step-1: Prime Factorization of 23817

Prime factors of 23817 are 3, 17, 467. Prime factorization of 23817 in exponential form is:

23817 = 3¹ × 17¹ × 467¹

Step-2: Prime Factorization of 23832

Prime factors of 23832 are 2, 3, 331. Prime factorization of 23832 in exponential form is:

23832 = 2³ × 3² × 331¹

Step-3: Factors of 23817

List of positive integer factors of 23817 that divides 23817 without a remainder.

1, 3, 17, 51, 467, 1401, 7939

Step-4: Factors of 23832

List of positive integer factors of 23832 that divides 23817 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 331, 662, 993, 1324, 1986, 2648, 2979, 3972, 5958, 7944, 11916

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23817 and 23832. The biggest common factor number is the GCF number.
So the greatest common factor 23817 and 23832 is 3.

Also check out the Least Common Multiple of 23817 and 23832