What is the Greatest Common Factor of 24204 and 24214?

Greatest common factor (GCF) of 24204 and 24214 is 2.

GCF(24204,24214) = 2

We will now calculate the prime factors of 24204 and 24214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24204 and 24214.

How to find the GCF of 24204 and 24214?

We will first find the prime factorization of 24204 and 24214. After we will calculate the factors of 24204 and 24214 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 24214

Prime factors of 24214 are 2, 12107. Prime factorization of 24214 in exponential form is:

24214 = 2¹ × 12107¹

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 24214

List of positive integer factors of 24214 that divides 24204 without a remainder.

1, 2, 12107

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24204 and 24214. The biggest common factor number is the GCF number.
So the greatest common factor 24204 and 24214 is 2.

Also check out the Least Common Multiple of 24204 and 24214