What is the Greatest Common Factor of 84204 and 84217?

Greatest common factor (GCF) of 84204 and 84217 is 1.

GCF(84204,84217) = 1

We will now calculate the prime factors of 84204 and 84217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84204 and 84217.

How to find the GCF of 84204 and 84217?

We will first find the prime factorization of 84204 and 84217. After we will calculate the factors of 84204 and 84217 and find the biggest common factor number .

Step-1: Prime Factorization of 84204

Prime factors of 84204 are 2, 3, 2339. Prime factorization of 84204 in exponential form is:

84204 = 2² × 3² × 2339¹

Step-2: Prime Factorization of 84217

Prime factors of 84217 are 7, 53, 227. Prime factorization of 84217 in exponential form is:

84217 = 7¹ × 53¹ × 227¹

Step-3: Factors of 84204

List of positive integer factors of 84204 that divides 84204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2339, 4678, 7017, 9356, 14034, 21051, 28068, 42102

Step-4: Factors of 84217

List of positive integer factors of 84217 that divides 84204 without a remainder.

1, 7, 53, 227, 371, 1589, 12031

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84204 and 84217. The biggest common factor number is the GCF number.
So the greatest common factor 84204 and 84217 is 1.

Also check out the Least Common Multiple of 84204 and 84217