What is the Greatest Common Factor of 24586 and 24606?

Greatest common factor (GCF) of 24586 and 24606 is 2.

GCF(24586,24606) = 2

We will now calculate the prime factors of 24586 and 24606, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24586 and 24606.

How to find the GCF of 24586 and 24606?

We will first find the prime factorization of 24586 and 24606. After we will calculate the factors of 24586 and 24606 and find the biggest common factor number .

Step-1: Prime Factorization of 24586

Prime factors of 24586 are 2, 19, 647. Prime factorization of 24586 in exponential form is:

24586 = 2¹ × 19¹ × 647¹

Step-2: Prime Factorization of 24606

Prime factors of 24606 are 2, 3, 1367. Prime factorization of 24606 in exponential form is:

24606 = 2¹ × 3² × 1367¹

Step-3: Factors of 24586

List of positive integer factors of 24586 that divides 24586 without a remainder.

1, 2, 19, 38, 647, 1294, 12293

Step-4: Factors of 24606

List of positive integer factors of 24606 that divides 24586 without a remainder.

1, 2, 3, 6, 9, 18, 1367, 2734, 4101, 8202, 12303

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24586 and 24606. The biggest common factor number is the GCF number.
So the greatest common factor 24586 and 24606 is 2.

Also check out the Least Common Multiple of 24586 and 24606