What is the Greatest Common Factor of 84297 and 84306?

Greatest common factor (GCF) of 84297 and 84306 is 3.

GCF(84297,84306) = 3

We will now calculate the prime factors of 84297 and 84306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84297 and 84306.

How to find the GCF of 84297 and 84306?

We will first find the prime factorization of 84297 and 84306. After we will calculate the factors of 84297 and 84306 and find the biggest common factor number .

Step-1: Prime Factorization of 84297

Prime factors of 84297 are 3, 28099. Prime factorization of 84297 in exponential form is:

84297 = 3¹ × 28099¹

Step-2: Prime Factorization of 84306

Prime factors of 84306 are 2, 3, 14051. Prime factorization of 84306 in exponential form is:

84306 = 2¹ × 3¹ × 14051¹

Step-3: Factors of 84297

List of positive integer factors of 84297 that divides 84297 without a remainder.

1, 3, 28099

Step-4: Factors of 84306

List of positive integer factors of 84306 that divides 84297 without a remainder.

1, 2, 3, 6, 14051, 28102, 42153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84297 and 84306. The biggest common factor number is the GCF number.
So the greatest common factor 84297 and 84306 is 3.

Also check out the Least Common Multiple of 84297 and 84306