What is the Greatest Common Factor of 84189 and 84201?

Greatest common factor (GCF) of 84189 and 84201 is 3.

GCF(84189,84201) = 3

We will now calculate the prime factors of 84189 and 84201, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84189 and 84201.

How to find the GCF of 84189 and 84201?

We will first find the prime factorization of 84189 and 84201. After we will calculate the factors of 84189 and 84201 and find the biggest common factor number .

Step-1: Prime Factorization of 84189

Prime factors of 84189 are 3, 7, 19, 211. Prime factorization of 84189 in exponential form is:

84189 = 3¹ × 7¹ × 19¹ × 211¹

Step-2: 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-3: Factors of 84189

List of positive integer factors of 84189 that divides 84189 without a remainder.

1, 3, 7, 19, 21, 57, 133, 211, 399, 633, 1477, 4009, 4431, 12027, 28063

Step-4: Factors of 84201

List of positive integer factors of 84201 that divides 84189 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84189 and 84201. The biggest common factor number is the GCF number.
So the greatest common factor 84189 and 84201 is 3.

Also check out the Least Common Multiple of 84189 and 84201