What is the Greatest Common Factor of 81729 and 81742?

Greatest common factor (GCF) of 81729 and 81742 is 1.

GCF(81729,81742) = 1

We will now calculate the prime factors of 81729 and 81742, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81729 and 81742.

How to find the GCF of 81729 and 81742?

We will first find the prime factorization of 81729 and 81742. After we will calculate the factors of 81729 and 81742 and find the biggest common factor number .

Step-1: Prime Factorization of 81729

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

81729 = 3⁴ × 1009¹

Step-2: Prime Factorization of 81742

Prime factors of 81742 are 2, 23, 1777. Prime factorization of 81742 in exponential form is:

81742 = 2¹ × 23¹ × 1777¹

Step-3: Factors of 81729

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

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

Step-4: Factors of 81742

List of positive integer factors of 81742 that divides 81729 without a remainder.

1, 2, 23, 46, 1777, 3554, 40871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81729 and 81742. The biggest common factor number is the GCF number.
So the greatest common factor 81729 and 81742 is 1.

Also check out the Least Common Multiple of 81729 and 81742