What is the Greatest Common Factor of 18873 and 18880?

Greatest common factor (GCF) of 18873 and 18880 is 1.

GCF(18873,18880) = 1

We will now calculate the prime factors of 18873 and 18880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18873 and 18880.

How to find the GCF of 18873 and 18880?

We will first find the prime factorization of 18873 and 18880. After we will calculate the factors of 18873 and 18880 and find the biggest common factor number .

Step-1: Prime Factorization of 18873

Prime factors of 18873 are 3, 233. Prime factorization of 18873 in exponential form is:

18873 = 3⁴ × 233¹

Step-2: 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-3: Factors of 18873

List of positive integer factors of 18873 that divides 18873 without a remainder.

1, 3, 9, 27, 81, 233, 699, 2097, 6291

Step-4: Factors of 18880

List of positive integer factors of 18880 that divides 18873 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18873 and 18880. The biggest common factor number is the GCF number.
So the greatest common factor 18873 and 18880 is 1.

Also check out the Least Common Multiple of 18873 and 18880