What is the Greatest Common Factor of 24666 and 24670?

Greatest common factor (GCF) of 24666 and 24670 is 2.

GCF(24666,24670) = 2

We will now calculate the prime factors of 24666 and 24670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24666 and 24670.

How to find the GCF of 24666 and 24670?

We will first find the prime factorization of 24666 and 24670. After we will calculate the factors of 24666 and 24670 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 24670

Prime factors of 24670 are 2, 5, 2467. Prime factorization of 24670 in exponential form is:

24670 = 2¹ × 5¹ × 2467¹

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 24670

List of positive integer factors of 24670 that divides 24666 without a remainder.

1, 2, 5, 10, 2467, 4934, 12335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24666 and 24670. The biggest common factor number is the GCF number.
So the greatest common factor 24666 and 24670 is 2.

Also check out the Least Common Multiple of 24666 and 24670