What is the Greatest Common Factor of 81189 and 81209?

Greatest common factor (GCF) of 81189 and 81209 is 1.

GCF(81189,81209) = 1

We will now calculate the prime factors of 81189 and 81209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81189 and 81209.

How to find the GCF of 81189 and 81209?

We will first find the prime factorization of 81189 and 81209. After we will calculate the factors of 81189 and 81209 and find the biggest common factor number .

Step-1: Prime Factorization of 81189

Prime factors of 81189 are 3, 31, 97. Prime factorization of 81189 in exponential form is:

81189 = 3³ × 31¹ × 97¹

Step-2: Prime Factorization of 81209

Prime factors of 81209 are 17, 281. Prime factorization of 81209 in exponential form is:

81209 = 17² × 281¹

Step-3: Factors of 81189

List of positive integer factors of 81189 that divides 81189 without a remainder.

1, 3, 9, 27, 31, 93, 97, 279, 291, 837, 873, 2619, 3007, 9021, 27063

Step-4: Factors of 81209

List of positive integer factors of 81209 that divides 81189 without a remainder.

1, 17, 281, 289, 4777

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81189 and 81209. The biggest common factor number is the GCF number.
So the greatest common factor 81189 and 81209 is 1.

Also check out the Least Common Multiple of 81189 and 81209