What is the Greatest Common Factor of 81189 and 81207?

Greatest common factor (GCF) of 81189 and 81207 is 9.

GCF(81189,81207) = 9

We will now calculate the prime factors of 81189 and 81207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81189 and 81207.

How to find the GCF of 81189 and 81207?

We will first find the prime factorization of 81189 and 81207. After we will calculate the factors of 81189 and 81207 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 81207

Prime factors of 81207 are 3, 7, 1289. Prime factorization of 81207 in exponential form is:

81207 = 3² × 7¹ × 1289¹

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 81207

List of positive integer factors of 81207 that divides 81189 without a remainder.

1, 3, 7, 9, 21, 63, 1289, 3867, 9023, 11601, 27069

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81189 and 81207. The biggest common factor number is the GCF number.
So the greatest common factor 81189 and 81207 is 9.

Also check out the Least Common Multiple of 81189 and 81207