What is the Greatest Common Factor of 48875 and 48889?

Greatest common factor (GCF) of 48875 and 48889 is 1.

GCF(48875,48889) = 1

We will now calculate the prime factors of 48875 and 48889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48875 and 48889.

How to find the GCF of 48875 and 48889?

We will first find the prime factorization of 48875 and 48889. After we will calculate the factors of 48875 and 48889 and find the biggest common factor number .

Step-1: Prime Factorization of 48875

Prime factors of 48875 are 5, 17, 23. Prime factorization of 48875 in exponential form is:

48875 = 5³ × 17¹ × 23¹

Step-2: Prime Factorization of 48889

Prime factors of 48889 are 48889. Prime factorization of 48889 in exponential form is:

48889 = 48889¹

Step-3: Factors of 48875

List of positive integer factors of 48875 that divides 48875 without a remainder.

1, 5, 17, 23, 25, 85, 115, 125, 391, 425, 575, 1955, 2125, 2875, 9775

Step-4: Factors of 48889

List of positive integer factors of 48889 that divides 48875 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48875 and 48889. The biggest common factor number is the GCF number.
So the greatest common factor 48875 and 48889 is 1.

Also check out the Least Common Multiple of 48875 and 48889