What is the Greatest Common Factor of 80874 and 80880?

Greatest common factor (GCF) of 80874 and 80880 is 6.

GCF(80874,80880) = 6

We will now calculate the prime factors of 80874 and 80880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80874 and 80880.

How to find the GCF of 80874 and 80880?

We will first find the prime factorization of 80874 and 80880. After we will calculate the factors of 80874 and 80880 and find the biggest common factor number .

Step-1: Prime Factorization of 80874

Prime factors of 80874 are 2, 3, 4493. Prime factorization of 80874 in exponential form is:

80874 = 2¹ × 3² × 4493¹

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 80874

List of positive integer factors of 80874 that divides 80874 without a remainder.

1, 2, 3, 6, 9, 18, 4493, 8986, 13479, 26958, 40437

Step-4: Factors of 80880

List of positive integer factors of 80880 that divides 80874 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 80874 and 80880. The biggest common factor number is the GCF number.
So the greatest common factor 80874 and 80880 is 6.

Also check out the Least Common Multiple of 80874 and 80880