What is the Greatest Common Factor of 24005 and 24010?

Greatest common factor (GCF) of 24005 and 24010 is 5.

GCF(24005,24010) = 5

We will now calculate the prime factors of 24005 and 24010, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24005 and 24010.

How to find the GCF of 24005 and 24010?

We will first find the prime factorization of 24005 and 24010. After we will calculate the factors of 24005 and 24010 and find the biggest common factor number .

Step-1: Prime Factorization of 24005

Prime factors of 24005 are 5, 4801. Prime factorization of 24005 in exponential form is:

24005 = 5¹ × 4801¹

Step-2: Prime Factorization of 24010

Prime factors of 24010 are 2, 5, 7. Prime factorization of 24010 in exponential form is:

24010 = 2¹ × 5¹ × 7⁴

Step-3: Factors of 24005

List of positive integer factors of 24005 that divides 24005 without a remainder.

1, 5, 4801

Step-4: Factors of 24010

List of positive integer factors of 24010 that divides 24005 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 2401, 3430, 4802, 12005

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24005 and 24010. The biggest common factor number is the GCF number.
So the greatest common factor 24005 and 24010 is 5.

Also check out the Least Common Multiple of 24005 and 24010