What is the Greatest Common Factor of 80871 and 80889?

Greatest common factor (GCF) of 80871 and 80889 is 3.

GCF(80871,80889) = 3

We will now calculate the prime factors of 80871 and 80889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80871 and 80889.

How to find the GCF of 80871 and 80889?

We will first find the prime factorization of 80871 and 80889. After we will calculate the factors of 80871 and 80889 and find the biggest common factor number .

Step-1: Prime Factorization of 80871

Prime factors of 80871 are 3, 7, 3851. Prime factorization of 80871 in exponential form is:

80871 = 3¹ × 7¹ × 3851¹

Step-2: Prime Factorization of 80889

Prime factors of 80889 are 3, 59, 457. Prime factorization of 80889 in exponential form is:

80889 = 3¹ × 59¹ × 457¹

Step-3: Factors of 80871

List of positive integer factors of 80871 that divides 80871 without a remainder.

1, 3, 7, 21, 3851, 11553, 26957

Step-4: Factors of 80889

List of positive integer factors of 80889 that divides 80871 without a remainder.

1, 3, 59, 177, 457, 1371, 26963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80871 and 80889. The biggest common factor number is the GCF number.
So the greatest common factor 80871 and 80889 is 3.

Also check out the Least Common Multiple of 80871 and 80889