What is the Greatest Common Factor of 24599 and 24616?

Greatest common factor (GCF) of 24599 and 24616 is 17.

GCF(24599,24616) = 17

We will now calculate the prime factors of 24599 and 24616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24599 and 24616.

How to find the GCF of 24599 and 24616?

We will first find the prime factorization of 24599 and 24616. After we will calculate the factors of 24599 and 24616 and find the biggest common factor number .

Step-1: Prime Factorization of 24599

Prime factors of 24599 are 17, 1447. Prime factorization of 24599 in exponential form is:

24599 = 17¹ × 1447¹

Step-2: Prime Factorization of 24616

Prime factors of 24616 are 2, 17, 181. Prime factorization of 24616 in exponential form is:

24616 = 2³ × 17¹ × 181¹

Step-3: Factors of 24599

List of positive integer factors of 24599 that divides 24599 without a remainder.

1, 17, 1447

Step-4: Factors of 24616

List of positive integer factors of 24616 that divides 24599 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 181, 362, 724, 1448, 3077, 6154, 12308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24599 and 24616. The biggest common factor number is the GCF number.
So the greatest common factor 24599 and 24616 is 17.

Also check out the Least Common Multiple of 24599 and 24616