What is the Greatest Common Factor of 81729 and 81733?

Greatest common factor (GCF) of 81729 and 81733 is 1.

GCF(81729,81733) = 1

We will now calculate the prime factors of 81729 and 81733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81729 and 81733.

How to find the GCF of 81729 and 81733?

We will first find the prime factorization of 81729 and 81733. After we will calculate the factors of 81729 and 81733 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 81733

Prime factors of 81733 are 37, 47. Prime factorization of 81733 in exponential form is:

81733 = 37¹ × 47²

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 81733

List of positive integer factors of 81733 that divides 81729 without a remainder.

1, 37, 47, 1739, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81729 and 81733. The biggest common factor number is the GCF number.
So the greatest common factor 81729 and 81733 is 1.

Also check out the Least Common Multiple of 81729 and 81733