What is the Greatest Common Factor of 18880 and 18885?

Greatest common factor (GCF) of 18880 and 18885 is 5.

GCF(18880,18885) = 5

We will now calculate the prime factors of 18880 and 18885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18880 and 18885.

How to find the GCF of 18880 and 18885?

We will first find the prime factorization of 18880 and 18885. After we will calculate the factors of 18880 and 18885 and find the biggest common factor number .

Step-1: Prime Factorization of 18880

Prime factors of 18880 are 2, 5, 59. Prime factorization of 18880 in exponential form is:

18880 = 2⁶ × 5¹ × 59¹

Step-2: Prime Factorization of 18885

Prime factors of 18885 are 3, 5, 1259. Prime factorization of 18885 in exponential form is:

18885 = 3¹ × 5¹ × 1259¹

Step-3: Factors of 18880

List of positive integer factors of 18880 that divides 18880 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 64, 80, 118, 160, 236, 295, 320, 472, 590, 944, 1180, 1888, 2360, 3776, 4720, 9440

Step-4: Factors of 18885

List of positive integer factors of 18885 that divides 18880 without a remainder.

1, 3, 5, 15, 1259, 3777, 6295

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18880 and 18885. The biggest common factor number is the GCF number.
So the greatest common factor 18880 and 18885 is 5.

Also check out the Least Common Multiple of 18880 and 18885