What is the Greatest Common Factor of 80871 and 80883?

Greatest common factor (GCF) of 80871 and 80883 is 3.

GCF(80871,80883) = 3

We will now calculate the prime factors of 80871 and 80883, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80871 and 80883.

How to find the GCF of 80871 and 80883?

We will first find the prime factorization of 80871 and 80883. After we will calculate the factors of 80871 and 80883 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 80883

Prime factors of 80883 are 3, 11, 19, 43. Prime factorization of 80883 in exponential form is:

80883 = 3² × 11¹ × 19¹ × 43¹

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 80883

List of positive integer factors of 80883 that divides 80871 without a remainder.

1, 3, 9, 11, 19, 33, 43, 57, 99, 129, 171, 209, 387, 473, 627, 817, 1419, 1881, 2451, 4257, 7353, 8987, 26961

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80871 and 80883. The biggest common factor number is the GCF number.
So the greatest common factor 80871 and 80883 is 3.

Also check out the Least Common Multiple of 80871 and 80883