What is the Greatest Common Factor of 80880 and 80884?

Greatest common factor (GCF) of 80880 and 80884 is 4.

GCF(80880,80884) = 4

We will now calculate the prime factors of 80880 and 80884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80880 and 80884.

How to find the GCF of 80880 and 80884?

We will first find the prime factorization of 80880 and 80884. After we will calculate the factors of 80880 and 80884 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80884

Prime factors of 80884 are 2, 73, 277. Prime factorization of 80884 in exponential form is:

80884 = 2² × 73¹ × 277¹

Step-3: Factors of 80880

List of positive integer factors of 80880 that divides 80880 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

Step-4: Factors of 80884

List of positive integer factors of 80884 that divides 80880 without a remainder.

1, 2, 4, 73, 146, 277, 292, 554, 1108, 20221, 40442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80880 and 80884. The biggest common factor number is the GCF number.
So the greatest common factor 80880 and 80884 is 4.

Also check out the Least Common Multiple of 80880 and 80884