What is the Greatest Common Factor of 24704 and 24717?

Greatest common factor (GCF) of 24704 and 24717 is 1.

GCF(24704,24717) = 1

We will now calculate the prime factors of 24704 and 24717, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24704 and 24717.

How to find the GCF of 24704 and 24717?

We will first find the prime factorization of 24704 and 24717. After we will calculate the factors of 24704 and 24717 and find the biggest common factor number .

Step-1: Prime Factorization of 24704

Prime factors of 24704 are 2, 193. Prime factorization of 24704 in exponential form is:

24704 = 2⁷ × 193¹

Step-2: Prime Factorization of 24717

Prime factors of 24717 are 3, 7, 11, 107. Prime factorization of 24717 in exponential form is:

24717 = 3¹ × 7¹ × 11¹ × 107¹

Step-3: Factors of 24704

List of positive integer factors of 24704 that divides 24704 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 193, 386, 772, 1544, 3088, 6176, 12352

Step-4: Factors of 24717

List of positive integer factors of 24717 that divides 24704 without a remainder.

1, 3, 7, 11, 21, 33, 77, 107, 231, 321, 749, 1177, 2247, 3531, 8239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24704 and 24717. The biggest common factor number is the GCF number.
So the greatest common factor 24704 and 24717 is 1.

Also check out the Least Common Multiple of 24704 and 24717