What is the Greatest Common Factor of 24204 and 24221?

Greatest common factor (GCF) of 24204 and 24221 is 1.

GCF(24204,24221) = 1

We will now calculate the prime factors of 24204 and 24221, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24204 and 24221.

How to find the GCF of 24204 and 24221?

We will first find the prime factorization of 24204 and 24221. After we will calculate the factors of 24204 and 24221 and find the biggest common factor number .

Step-1: Prime Factorization of 24204

Prime factors of 24204 are 2, 3, 2017. Prime factorization of 24204 in exponential form is:

24204 = 2² × 3¹ × 2017¹

Step-2: Prime Factorization of 24221

Prime factors of 24221 are 53, 457. Prime factorization of 24221 in exponential form is:

24221 = 53¹ × 457¹

Step-3: Factors of 24204

List of positive integer factors of 24204 that divides 24204 without a remainder.

1, 2, 3, 4, 6, 12, 2017, 4034, 6051, 8068, 12102

Step-4: Factors of 24221

List of positive integer factors of 24221 that divides 24204 without a remainder.

1, 53, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24204 and 24221. The biggest common factor number is the GCF number.
So the greatest common factor 24204 and 24221 is 1.

Also check out the Least Common Multiple of 24204 and 24221