What is the Greatest Common Factor of 48175 and 48190?

Greatest common factor (GCF) of 48175 and 48190 is 5.

GCF(48175,48190) = 5

We will now calculate the prime factors of 48175 and 48190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48175 and 48190.

How to find the GCF of 48175 and 48190?

We will first find the prime factorization of 48175 and 48190. After we will calculate the factors of 48175 and 48190 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 48190

Prime factors of 48190 are 2, 5, 61, 79. Prime factorization of 48190 in exponential form is:

48190 = 2¹ × 5¹ × 61¹ × 79¹

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 48190

List of positive integer factors of 48190 that divides 48175 without a remainder.

1, 2, 5, 10, 61, 79, 122, 158, 305, 395, 610, 790, 4819, 9638, 24095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48175 and 48190. The biggest common factor number is the GCF number.
So the greatest common factor 48175 and 48190 is 5.

Also check out the Least Common Multiple of 48175 and 48190