What is the Greatest Common Factor of 84186 and 84198?

Greatest common factor (GCF) of 84186 and 84198 is 6.

GCF(84186,84198) = 6

We will now calculate the prime factors of 84186 and 84198, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84186 and 84198.

How to find the GCF of 84186 and 84198?

We will first find the prime factorization of 84186 and 84198. After we will calculate the factors of 84186 and 84198 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 84198

Prime factors of 84198 are 2, 3, 14033. Prime factorization of 84198 in exponential form is:

84198 = 2¹ × 3¹ × 14033¹

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 84198

List of positive integer factors of 84198 that divides 84186 without a remainder.

1, 2, 3, 6, 14033, 28066, 42099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84186 and 84198. The biggest common factor number is the GCF number.
So the greatest common factor 84186 and 84198 is 6.

Also check out the Least Common Multiple of 84186 and 84198