What is the Greatest Common Factor of 84186 and 84204?

Greatest common factor (GCF) of 84186 and 84204 is 18.

GCF(84186,84204) = 18

We will now calculate the prime factors of 84186 and 84204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84186 and 84204.

How to find the GCF of 84186 and 84204?

We will first find the prime factorization of 84186 and 84204. After we will calculate the factors of 84186 and 84204 and find the biggest common factor number .

Step-1: Prime Factorization of 84186

Prime factors of 84186 are 2, 3, 1559. Prime factorization of 84186 in exponential form is:

84186 = 2¹ × 3³ × 1559¹

Step-2: 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-3: Factors of 84186

List of positive integer factors of 84186 that divides 84186 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1559, 3118, 4677, 9354, 14031, 28062, 42093

Step-4: Factors of 84204

List of positive integer factors of 84204 that divides 84186 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84186 and 84204. The biggest common factor number is the GCF number.
So the greatest common factor 84186 and 84204 is 18.

Also check out the Least Common Multiple of 84186 and 84204