What is the Greatest Common Factor of 81891 and 81897?

Greatest common factor (GCF) of 81891 and 81897 is 3.

GCF(81891,81897) = 3

We will now calculate the prime factors of 81891 and 81897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81891 and 81897.

How to find the GCF of 81891 and 81897?

We will first find the prime factorization of 81891 and 81897. After we will calculate the factors of 81891 and 81897 and find the biggest common factor number .

Step-1: Prime Factorization of 81891

Prime factors of 81891 are 3, 337. Prime factorization of 81891 in exponential form is:

81891 = 3⁵ × 337¹

Step-2: Prime Factorization of 81897

Prime factors of 81897 are 3, 27299. Prime factorization of 81897 in exponential form is:

81897 = 3¹ × 27299¹

Step-3: Factors of 81891

List of positive integer factors of 81891 that divides 81891 without a remainder.

1, 3, 9, 27, 81, 243, 337, 1011, 3033, 9099, 27297

Step-4: Factors of 81897

List of positive integer factors of 81897 that divides 81891 without a remainder.

1, 3, 27299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81891 and 81897. The biggest common factor number is the GCF number.
So the greatest common factor 81891 and 81897 is 3.

Also check out the Least Common Multiple of 81891 and 81897