What is the Greatest Common Factor of 24586 and 24605?

Greatest common factor (GCF) of 24586 and 24605 is 19.

GCF(24586,24605) = 19

We will now calculate the prime factors of 24586 and 24605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24586 and 24605.

How to find the GCF of 24586 and 24605?

We will first find the prime factorization of 24586 and 24605. After we will calculate the factors of 24586 and 24605 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 24605

Prime factors of 24605 are 5, 7, 19, 37. Prime factorization of 24605 in exponential form is:

24605 = 5¹ × 7¹ × 19¹ × 37¹

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 24605

List of positive integer factors of 24605 that divides 24586 without a remainder.

1, 5, 7, 19, 35, 37, 95, 133, 185, 259, 665, 703, 1295, 3515, 4921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24586 and 24605. The biggest common factor number is the GCF number.
So the greatest common factor 24586 and 24605 is 19.

Also check out the Least Common Multiple of 24586 and 24605