What is the Greatest Common Factor of 18880 and 18899?

Greatest common factor (GCF) of 18880 and 18899 is 1.

GCF(18880,18899) = 1

We will now calculate the prime factors of 18880 and 18899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18880 and 18899.

How to find the GCF of 18880 and 18899?

We will first find the prime factorization of 18880 and 18899. After we will calculate the factors of 18880 and 18899 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 18899

Prime factors of 18899 are 18899. Prime factorization of 18899 in exponential form is:

18899 = 18899¹

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 18899

List of positive integer factors of 18899 that divides 18880 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18880 and 18899. The biggest common factor number is the GCF number.
So the greatest common factor 18880 and 18899 is 1.

Also check out the Least Common Multiple of 18880 and 18899