What is the Greatest Common Factor of 18875 and 18880?

Greatest common factor (GCF) of 18875 and 18880 is 5.

GCF(18875,18880) = 5

We will now calculate the prime factors of 18875 and 18880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18875 and 18880.

How to find the GCF of 18875 and 18880?

We will first find the prime factorization of 18875 and 18880. After we will calculate the factors of 18875 and 18880 and find the biggest common factor number .

Step-1: Prime Factorization of 18875

Prime factors of 18875 are 5, 151. Prime factorization of 18875 in exponential form is:

18875 = 5³ × 151¹

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 18875

List of positive integer factors of 18875 that divides 18875 without a remainder.

1, 5, 25, 125, 151, 755, 3775

Step-4: Factors of 18880

List of positive integer factors of 18880 that divides 18875 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 18875 and 18880. The biggest common factor number is the GCF number.
So the greatest common factor 18875 and 18880 is 5.

Also check out the Least Common Multiple of 18875 and 18880