What is the Greatest Common Factor of 23847 and 23865?

Greatest common factor (GCF) of 23847 and 23865 is 3.

GCF(23847,23865) = 3

We will now calculate the prime factors of 23847 and 23865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23847 and 23865.

How to find the GCF of 23847 and 23865?

We will first find the prime factorization of 23847 and 23865. After we will calculate the factors of 23847 and 23865 and find the biggest common factor number .

Step-1: Prime Factorization of 23847

Prime factors of 23847 are 3, 7949. Prime factorization of 23847 in exponential form is:

23847 = 3¹ × 7949¹

Step-2: Prime Factorization of 23865

Prime factors of 23865 are 3, 5, 37, 43. Prime factorization of 23865 in exponential form is:

23865 = 3¹ × 5¹ × 37¹ × 43¹

Step-3: Factors of 23847

List of positive integer factors of 23847 that divides 23847 without a remainder.

1, 3, 7949

Step-4: Factors of 23865

List of positive integer factors of 23865 that divides 23847 without a remainder.

1, 3, 5, 15, 37, 43, 111, 129, 185, 215, 555, 645, 1591, 4773, 7955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23847 and 23865. The biggest common factor number is the GCF number.
So the greatest common factor 23847 and 23865 is 3.

Also check out the Least Common Multiple of 23847 and 23865