What is the Greatest Common Factor of 23586 and 23604?

Greatest common factor (GCF) of 23586 and 23604 is 6.

GCF(23586,23604) = 6

We will now calculate the prime factors of 23586 and 23604, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23586 and 23604.

How to find the GCF of 23586 and 23604?

We will first find the prime factorization of 23586 and 23604. After we will calculate the factors of 23586 and 23604 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 23604

Prime factors of 23604 are 2, 3, 7, 281. Prime factorization of 23604 in exponential form is:

23604 = 2² × 3¹ × 7¹ × 281¹

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 23604

List of positive integer factors of 23604 that divides 23586 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 281, 562, 843, 1124, 1686, 1967, 3372, 3934, 5901, 7868, 11802

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23586 and 23604. The biggest common factor number is the GCF number.
So the greatest common factor 23586 and 23604 is 6.

Also check out the Least Common Multiple of 23586 and 23604