What is the Greatest Common Factor of 24242 and 24259?

Greatest common factor (GCF) of 24242 and 24259 is 17.

GCF(24242,24259) = 17

We will now calculate the prime factors of 24242 and 24259, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24242 and 24259.

How to find the GCF of 24242 and 24259?

We will first find the prime factorization of 24242 and 24259. After we will calculate the factors of 24242 and 24259 and find the biggest common factor number .

Step-1: Prime Factorization of 24242

Prime factors of 24242 are 2, 17, 23, 31. Prime factorization of 24242 in exponential form is:

24242 = 2¹ × 17¹ × 23¹ × 31¹

Step-2: Prime Factorization of 24259

Prime factors of 24259 are 17, 1427. Prime factorization of 24259 in exponential form is:

24259 = 17¹ × 1427¹

Step-3: Factors of 24242

List of positive integer factors of 24242 that divides 24242 without a remainder.

1, 2, 17, 23, 31, 34, 46, 62, 391, 527, 713, 782, 1054, 1426, 12121

Step-4: Factors of 24259

List of positive integer factors of 24259 that divides 24242 without a remainder.

1, 17, 1427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24242 and 24259. The biggest common factor number is the GCF number.
So the greatest common factor 24242 and 24259 is 17.

Also check out the Least Common Multiple of 24242 and 24259