What is the Greatest Common Factor of 24666 and 24675?

Greatest common factor (GCF) of 24666 and 24675 is 3.

GCF(24666,24675) = 3

We will now calculate the prime factors of 24666 and 24675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24666 and 24675.

How to find the GCF of 24666 and 24675?

We will first find the prime factorization of 24666 and 24675. After we will calculate the factors of 24666 and 24675 and find the biggest common factor number .

Step-1: Prime Factorization of 24666

Prime factors of 24666 are 2, 3, 4111. Prime factorization of 24666 in exponential form is:

24666 = 2¹ × 3¹ × 4111¹

Step-2: Prime Factorization of 24675

Prime factors of 24675 are 3, 5, 7, 47. Prime factorization of 24675 in exponential form is:

24675 = 3¹ × 5² × 7¹ × 47¹

Step-3: Factors of 24666

List of positive integer factors of 24666 that divides 24666 without a remainder.

1, 2, 3, 6, 4111, 8222, 12333

Step-4: Factors of 24675

List of positive integer factors of 24675 that divides 24666 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 47, 75, 105, 141, 175, 235, 329, 525, 705, 987, 1175, 1645, 3525, 4935, 8225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24666 and 24675. The biggest common factor number is the GCF number.
So the greatest common factor 24666 and 24675 is 3.

Also check out the Least Common Multiple of 24666 and 24675