What is the Greatest Common Factor of 48875 and 48887?

Greatest common factor (GCF) of 48875 and 48887 is 1.

GCF(48875,48887) = 1

We will now calculate the prime factors of 48875 and 48887, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48875 and 48887.

How to find the GCF of 48875 and 48887?

We will first find the prime factorization of 48875 and 48887. After we will calculate the factors of 48875 and 48887 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 48887

Prime factors of 48887 are 19, 31, 83. Prime factorization of 48887 in exponential form is:

48887 = 19¹ × 31¹ × 83¹

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 48887

List of positive integer factors of 48887 that divides 48875 without a remainder.

1, 19, 31, 83, 589, 1577, 2573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48875 and 48887. The biggest common factor number is the GCF number.
So the greatest common factor 48875 and 48887 is 1.

Also check out the Least Common Multiple of 48875 and 48887