What is the Greatest Common Factor of 84213 and 84222?

Greatest common factor (GCF) of 84213 and 84222 is 9.

GCF(84213,84222) = 9

We will now calculate the prime factors of 84213 and 84222, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84213 and 84222.

How to find the GCF of 84213 and 84222?

We will first find the prime factorization of 84213 and 84222. After we will calculate the factors of 84213 and 84222 and find the biggest common factor number .

Step-1: Prime Factorization of 84213

Prime factors of 84213 are 3, 3119. Prime factorization of 84213 in exponential form is:

84213 = 3³ × 3119¹

Step-2: Prime Factorization of 84222

Prime factors of 84222 are 2, 3, 4679. Prime factorization of 84222 in exponential form is:

84222 = 2¹ × 3² × 4679¹

Step-3: Factors of 84213

List of positive integer factors of 84213 that divides 84213 without a remainder.

1, 3, 9, 27, 3119, 9357, 28071

Step-4: Factors of 84222

List of positive integer factors of 84222 that divides 84213 without a remainder.

1, 2, 3, 6, 9, 18, 4679, 9358, 14037, 28074, 42111

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84213 and 84222. The biggest common factor number is the GCF number.
So the greatest common factor 84213 and 84222 is 9.

Also check out the Least Common Multiple of 84213 and 84222