What is the Greatest Common Factor of 81267 and 81279?

Greatest common factor (GCF) of 81267 and 81279 is 3.

GCF(81267,81279) = 3

We will now calculate the prime factors of 81267 and 81279, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81267 and 81279.

How to find the GCF of 81267 and 81279?

We will first find the prime factorization of 81267 and 81279. After we will calculate the factors of 81267 and 81279 and find the biggest common factor number .

Step-1: Prime Factorization of 81267

Prime factors of 81267 are 3, 103, 263. Prime factorization of 81267 in exponential form is:

81267 = 3¹ × 103¹ × 263¹

Step-2: Prime Factorization of 81279

Prime factors of 81279 are 3, 11, 821. Prime factorization of 81279 in exponential form is:

81279 = 3² × 11¹ × 821¹

Step-3: Factors of 81267

List of positive integer factors of 81267 that divides 81267 without a remainder.

1, 3, 103, 263, 309, 789, 27089

Step-4: Factors of 81279

List of positive integer factors of 81279 that divides 81267 without a remainder.

1, 3, 9, 11, 33, 99, 821, 2463, 7389, 9031, 27093

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81267 and 81279. The biggest common factor number is the GCF number.
So the greatest common factor 81267 and 81279 is 3.

Also check out the Least Common Multiple of 81267 and 81279