What is the Greatest Common Factor of 48175 and 48187?

Greatest common factor (GCF) of 48175 and 48187 is 1.

GCF(48175,48187) = 1

We will now calculate the prime factors of 48175 and 48187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48175 and 48187.

How to find the GCF of 48175 and 48187?

We will first find the prime factorization of 48175 and 48187. After we will calculate the factors of 48175 and 48187 and find the biggest common factor number .

Step-1: Prime Factorization of 48175

Prime factors of 48175 are 5, 41, 47. Prime factorization of 48175 in exponential form is:

48175 = 5² × 41¹ × 47¹

Step-2: Prime Factorization of 48187

Prime factors of 48187 are 48187. Prime factorization of 48187 in exponential form is:

48187 = 48187¹

Step-3: Factors of 48175

List of positive integer factors of 48175 that divides 48175 without a remainder.

1, 5, 25, 41, 47, 205, 235, 1025, 1175, 1927, 9635

Step-4: Factors of 48187

List of positive integer factors of 48187 that divides 48175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48175 and 48187. The biggest common factor number is the GCF number.
So the greatest common factor 48175 and 48187 is 1.

Also check out the Least Common Multiple of 48175 and 48187