What is the Greatest Common Factor of 55875 and 55889?

Greatest common factor (GCF) of 55875 and 55889 is 1.

GCF(55875,55889) = 1

We will now calculate the prime factors of 55875 and 55889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 55875 and 55889.

How to find the GCF of 55875 and 55889?

We will first find the prime factorization of 55875 and 55889. After we will calculate the factors of 55875 and 55889 and find the biggest common factor number .

Step-1: Prime Factorization of 55875

Prime factors of 55875 are 3, 5, 149. Prime factorization of 55875 in exponential form is:

55875 = 3¹ × 5³ × 149¹

Step-2: Prime Factorization of 55889

Prime factors of 55889 are 55889. Prime factorization of 55889 in exponential form is:

55889 = 55889¹

Step-3: Factors of 55875

List of positive integer factors of 55875 that divides 55875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 149, 375, 447, 745, 2235, 3725, 11175, 18625

Step-4: Factors of 55889

List of positive integer factors of 55889 that divides 55875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 55875 and 55889. The biggest common factor number is the GCF number.
So the greatest common factor 55875 and 55889 is 1.

Also check out the Least Common Multiple of 55875 and 55889