What is the Greatest Common Factor of 80871 and 80880?

Greatest common factor (GCF) of 80871 and 80880 is 3.

GCF(80871,80880) = 3

We will now calculate the prime factors of 80871 and 80880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80871 and 80880.

How to find the GCF of 80871 and 80880?

We will first find the prime factorization of 80871 and 80880. After we will calculate the factors of 80871 and 80880 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 80880

Prime factors of 80880 are 2, 3, 5, 337. Prime factorization of 80880 in exponential form is:

80880 = 2⁴ × 3¹ × 5¹ × 337¹

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 80880

List of positive integer factors of 80880 that divides 80871 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 337, 674, 1011, 1348, 1685, 2022, 2696, 3370, 4044, 5055, 5392, 6740, 8088, 10110, 13480, 16176, 20220, 26960, 40440

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80871 and 80880. The biggest common factor number is the GCF number.
So the greatest common factor 80871 and 80880 is 3.

Also check out the Least Common Multiple of 80871 and 80880