What is the Greatest Common Factor of 48089 and 48095?

Greatest common factor (GCF) of 48089 and 48095 is 1.

GCF(48089,48095) = 1

We will now calculate the prime factors of 48089 and 48095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48089 and 48095.

How to find the GCF of 48089 and 48095?

We will first find the prime factorization of 48089 and 48095. After we will calculate the factors of 48089 and 48095 and find the biggest common factor number .

Step-1: Prime Factorization of 48089

Prime factors of 48089 are 19, 2531. Prime factorization of 48089 in exponential form is:

48089 = 19¹ × 2531¹

Step-2: Prime Factorization of 48095

Prime factors of 48095 are 5, 9619. Prime factorization of 48095 in exponential form is:

48095 = 5¹ × 9619¹

Step-3: Factors of 48089

List of positive integer factors of 48089 that divides 48089 without a remainder.

1, 19, 2531

Step-4: Factors of 48095

List of positive integer factors of 48095 that divides 48089 without a remainder.

1, 5, 9619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48089 and 48095. The biggest common factor number is the GCF number.
So the greatest common factor 48089 and 48095 is 1.

Also check out the Least Common Multiple of 48089 and 48095