What is the Greatest Common Factor of 81729 and 81738?

Greatest common factor (GCF) of 81729 and 81738 is 9.

GCF(81729,81738) = 9

We will now calculate the prime factors of 81729 and 81738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81729 and 81738.

How to find the GCF of 81729 and 81738?

We will first find the prime factorization of 81729 and 81738. After we will calculate the factors of 81729 and 81738 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 81738

Prime factors of 81738 are 2, 3, 19, 239. Prime factorization of 81738 in exponential form is:

81738 = 2¹ × 3² × 19¹ × 239¹

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 81738

List of positive integer factors of 81738 that divides 81729 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 239, 342, 478, 717, 1434, 2151, 4302, 4541, 9082, 13623, 27246, 40869

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81729 and 81738. The biggest common factor number is the GCF number.
So the greatest common factor 81729 and 81738 is 9.

Also check out the Least Common Multiple of 81729 and 81738