What is the Greatest Common Factor of 24008 and 24021?

Greatest common factor (GCF) of 24008 and 24021 is 1.

GCF(24008,24021) = 1

We will now calculate the prime factors of 24008 and 24021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24008 and 24021.

How to find the GCF of 24008 and 24021?

We will first find the prime factorization of 24008 and 24021. After we will calculate the factors of 24008 and 24021 and find the biggest common factor number .

Step-1: Prime Factorization of 24008

Prime factors of 24008 are 2, 3001. Prime factorization of 24008 in exponential form is:

24008 = 2³ × 3001¹

Step-2: Prime Factorization of 24021

Prime factors of 24021 are 3, 17, 157. Prime factorization of 24021 in exponential form is:

24021 = 3² × 17¹ × 157¹

Step-3: Factors of 24008

List of positive integer factors of 24008 that divides 24008 without a remainder.

1, 2, 4, 8, 3001, 6002, 12004

Step-4: Factors of 24021

List of positive integer factors of 24021 that divides 24008 without a remainder.

1, 3, 9, 17, 51, 153, 157, 471, 1413, 2669, 8007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24008 and 24021. The biggest common factor number is the GCF number.
So the greatest common factor 24008 and 24021 is 1.

Also check out the Least Common Multiple of 24008 and 24021