What is the Greatest Common Factor of 81909 and 81917?

Greatest common factor (GCF) of 81909 and 81917 is 1.

GCF(81909,81917) = 1

We will now calculate the prime factors of 81909 and 81917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81909 and 81917.

How to find the GCF of 81909 and 81917?

We will first find the prime factorization of 81909 and 81917. After we will calculate the factors of 81909 and 81917 and find the biggest common factor number .

Step-1: Prime Factorization of 81909

Prime factors of 81909 are 3, 19, 479. Prime factorization of 81909 in exponential form is:

81909 = 3² × 19¹ × 479¹

Step-2: Prime Factorization of 81917

Prime factors of 81917 are 11, 677. Prime factorization of 81917 in exponential form is:

81917 = 11² × 677¹

Step-3: Factors of 81909

List of positive integer factors of 81909 that divides 81909 without a remainder.

1, 3, 9, 19, 57, 171, 479, 1437, 4311, 9101, 27303

Step-4: Factors of 81917

List of positive integer factors of 81917 that divides 81909 without a remainder.

1, 11, 121, 677, 7447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81909 and 81917. The biggest common factor number is the GCF number.
So the greatest common factor 81909 and 81917 is 1.

Also check out the Least Common Multiple of 81909 and 81917