What is the Greatest Common Factor of 81711 and 81729?

Greatest common factor (GCF) of 81711 and 81729 is 9.

GCF(81711,81729) = 9

We will now calculate the prime factors of 81711 and 81729, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81711 and 81729.

How to find the GCF of 81711 and 81729?

We will first find the prime factorization of 81711 and 81729. After we will calculate the factors of 81711 and 81729 and find the biggest common factor number .

Step-1: Prime Factorization of 81711

Prime factors of 81711 are 3, 7, 1297. Prime factorization of 81711 in exponential form is:

81711 = 3² × 7¹ × 1297¹

Step-2: Prime Factorization of 81729

Prime factors of 81729 are 3, 1009. Prime factorization of 81729 in exponential form is:

81729 = 3⁴ × 1009¹

Step-3: Factors of 81711

List of positive integer factors of 81711 that divides 81711 without a remainder.

1, 3, 7, 9, 21, 63, 1297, 3891, 9079, 11673, 27237

Step-4: Factors of 81729

List of positive integer factors of 81729 that divides 81711 without a remainder.

1, 3, 9, 27, 81, 1009, 3027, 9081, 27243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81711 and 81729. The biggest common factor number is the GCF number.
So the greatest common factor 81711 and 81729 is 9.

Also check out the Least Common Multiple of 81711 and 81729