What is the Greatest Common Factor of 17880 and 17885?

Greatest common factor (GCF) of 17880 and 17885 is 5.

GCF(17880,17885) = 5

We will now calculate the prime factors of 17880 and 17885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17880 and 17885.

How to find the GCF of 17880 and 17885?

We will first find the prime factorization of 17880 and 17885. After we will calculate the factors of 17880 and 17885 and find the biggest common factor number .

Step-1: Prime Factorization of 17880

Prime factors of 17880 are 2, 3, 5, 149. Prime factorization of 17880 in exponential form is:

17880 = 2³ × 3¹ × 5¹ × 149¹

Step-2: Prime Factorization of 17885

Prime factors of 17885 are 5, 7, 73. Prime factorization of 17885 in exponential form is:

17885 = 5¹ × 7² × 73¹

Step-3: Factors of 17880

List of positive integer factors of 17880 that divides 17880 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 149, 298, 447, 596, 745, 894, 1192, 1490, 1788, 2235, 2980, 3576, 4470, 5960, 8940

Step-4: Factors of 17885

List of positive integer factors of 17885 that divides 17880 without a remainder.

1, 5, 7, 35, 49, 73, 245, 365, 511, 2555, 3577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17880 and 17885. The biggest common factor number is the GCF number.
So the greatest common factor 17880 and 17885 is 5.

Also check out the Least Common Multiple of 17880 and 17885