What is the Greatest Common Factor of 63204 and 63213?

Greatest common factor (GCF) of 63204 and 63213 is 3.

GCF(63204,63213) = 3

We will now calculate the prime factors of 63204 and 63213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63204 and 63213.

How to find the GCF of 63204 and 63213?

We will first find the prime factorization of 63204 and 63213. After we will calculate the factors of 63204 and 63213 and find the biggest common factor number .

Step-1: Prime Factorization of 63204

Prime factors of 63204 are 2, 3, 23, 229. Prime factorization of 63204 in exponential form is:

63204 = 2² × 3¹ × 23¹ × 229¹

Step-2: Prime Factorization of 63213

Prime factors of 63213 are 3, 19, 1109. Prime factorization of 63213 in exponential form is:

63213 = 3¹ × 19¹ × 1109¹

Step-3: Factors of 63204

List of positive integer factors of 63204 that divides 63204 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 229, 276, 458, 687, 916, 1374, 2748, 5267, 10534, 15801, 21068, 31602

Step-4: Factors of 63213

List of positive integer factors of 63213 that divides 63204 without a remainder.

1, 3, 19, 57, 1109, 3327, 21071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63204 and 63213. The biggest common factor number is the GCF number.
So the greatest common factor 63204 and 63213 is 3.

Also check out the Least Common Multiple of 63204 and 63213