What is the Greatest Common Factor of 84483 and 84501?

Greatest common factor (GCF) of 84483 and 84501 is 9.

GCF(84483,84501) = 9

We will now calculate the prime factors of 84483 and 84501, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84483 and 84501.

How to find the GCF of 84483 and 84501?

We will first find the prime factorization of 84483 and 84501. After we will calculate the factors of 84483 and 84501 and find the biggest common factor number .

Step-1: Prime Factorization of 84483

Prime factors of 84483 are 3, 7, 149. Prime factorization of 84483 in exponential form is:

84483 = 3⁴ × 7¹ × 149¹

Step-2: Prime Factorization of 84501

Prime factors of 84501 are 3, 41, 229. Prime factorization of 84501 in exponential form is:

84501 = 3² × 41¹ × 229¹

Step-3: Factors of 84483

List of positive integer factors of 84483 that divides 84483 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 149, 189, 447, 567, 1043, 1341, 3129, 4023, 9387, 12069, 28161

Step-4: Factors of 84501

List of positive integer factors of 84501 that divides 84483 without a remainder.

1, 3, 9, 41, 123, 229, 369, 687, 2061, 9389, 28167

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84483 and 84501. The biggest common factor number is the GCF number.
So the greatest common factor 84483 and 84501 is 9.

Also check out the Least Common Multiple of 84483 and 84501