What is the Greatest Common Factor of 23586 and 23601?

Greatest common factor (GCF) of 23586 and 23601 is 3.

GCF(23586,23601) = 3

We will now calculate the prime factors of 23586 and 23601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23586 and 23601.

How to find the GCF of 23586 and 23601?

We will first find the prime factorization of 23586 and 23601. After we will calculate the factors of 23586 and 23601 and find the biggest common factor number .

Step-1: Prime Factorization of 23586

Prime factors of 23586 are 2, 3, 3931. Prime factorization of 23586 in exponential form is:

23586 = 2¹ × 3¹ × 3931¹

Step-2: Prime Factorization of 23601

Prime factors of 23601 are 3, 7867. Prime factorization of 23601 in exponential form is:

23601 = 3¹ × 7867¹

Step-3: Factors of 23586

List of positive integer factors of 23586 that divides 23586 without a remainder.

1, 2, 3, 6, 3931, 7862, 11793

Step-4: Factors of 23601

List of positive integer factors of 23601 that divides 23586 without a remainder.

1, 3, 7867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23586 and 23601. The biggest common factor number is the GCF number.
So the greatest common factor 23586 and 23601 is 3.

Also check out the Least Common Multiple of 23586 and 23601