What is the Greatest Common Factor of 48167 and 48175?

Greatest common factor (GCF) of 48167 and 48175 is 1.

GCF(48167,48175) = 1

We will now calculate the prime factors of 48167 and 48175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48167 and 48175.

How to find the GCF of 48167 and 48175?

We will first find the prime factorization of 48167 and 48175. After we will calculate the factors of 48167 and 48175 and find the biggest common factor number .

Step-1: Prime Factorization of 48167

Prime factors of 48167 are 7, 983. Prime factorization of 48167 in exponential form is:

48167 = 7² × 983¹

Step-2: 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-3: Factors of 48167

List of positive integer factors of 48167 that divides 48167 without a remainder.

1, 7, 49, 983, 6881

Step-4: Factors of 48175

List of positive integer factors of 48175 that divides 48167 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48167 and 48175. The biggest common factor number is the GCF number.
So the greatest common factor 48167 and 48175 is 1.

Also check out the Least Common Multiple of 48167 and 48175