What is the Greatest Common Factor of 84201 and 84219?

Greatest common factor (GCF) of 84201 and 84219 is 3.

GCF(84201,84219) = 3

We will now calculate the prime factors of 84201 and 84219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84201 and 84219.

How to find the GCF of 84201 and 84219?

We will first find the prime factorization of 84201 and 84219. After we will calculate the factors of 84201 and 84219 and find the biggest common factor number .

Step-1: Prime Factorization of 84201

Prime factors of 84201 are 3, 13, 17, 127. Prime factorization of 84201 in exponential form is:

84201 = 3¹ × 13¹ × 17¹ × 127¹

Step-2: Prime Factorization of 84219

Prime factors of 84219 are 3, 67, 419. Prime factorization of 84219 in exponential form is:

84219 = 3¹ × 67¹ × 419¹

Step-3: Factors of 84201

List of positive integer factors of 84201 that divides 84201 without a remainder.

1, 3, 13, 17, 39, 51, 127, 221, 381, 663, 1651, 2159, 4953, 6477, 28067

Step-4: Factors of 84219

List of positive integer factors of 84219 that divides 84201 without a remainder.

1, 3, 67, 201, 419, 1257, 28073

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84201 and 84219. The biggest common factor number is the GCF number.
So the greatest common factor 84201 and 84219 is 3.

Also check out the Least Common Multiple of 84201 and 84219