What is the Greatest Common Factor of 21204 and 21215?

Greatest common factor (GCF) of 21204 and 21215 is 1.

GCF(21204,21215) = 1

We will now calculate the prime factors of 21204 and 21215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21204 and 21215.

How to find the GCF of 21204 and 21215?

We will first find the prime factorization of 21204 and 21215. After we will calculate the factors of 21204 and 21215 and find the biggest common factor number .

Step-1: Prime Factorization of 21204

Prime factors of 21204 are 2, 3, 19, 31. Prime factorization of 21204 in exponential form is:

21204 = 2² × 3² × 19¹ × 31¹

Step-2: Prime Factorization of 21215

Prime factors of 21215 are 5, 4243. Prime factorization of 21215 in exponential form is:

21215 = 5¹ × 4243¹

Step-3: Factors of 21204

List of positive integer factors of 21204 that divides 21204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 31, 36, 38, 57, 62, 76, 93, 114, 124, 171, 186, 228, 279, 342, 372, 558, 589, 684, 1116, 1178, 1767, 2356, 3534, 5301, 7068, 10602

Step-4: Factors of 21215

List of positive integer factors of 21215 that divides 21204 without a remainder.

1, 5, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21204 and 21215. The biggest common factor number is the GCF number.
So the greatest common factor 21204 and 21215 is 1.

Also check out the Least Common Multiple of 21204 and 21215