What is the Greatest Common Factor of 48901 and 48917?

Greatest common factor (GCF) of 48901 and 48917 is 1.

GCF(48901,48917) = 1

We will now calculate the prime factors of 48901 and 48917, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48901 and 48917.

How to find the GCF of 48901 and 48917?

We will first find the prime factorization of 48901 and 48917. After we will calculate the factors of 48901 and 48917 and find the biggest common factor number .

Step-1: Prime Factorization of 48901

Prime factors of 48901 are 79, 619. Prime factorization of 48901 in exponential form is:

48901 = 79¹ × 619¹

Step-2: Prime Factorization of 48917

Prime factors of 48917 are 11, 4447. Prime factorization of 48917 in exponential form is:

48917 = 11¹ × 4447¹

Step-3: Factors of 48901

List of positive integer factors of 48901 that divides 48901 without a remainder.

1, 79, 619

Step-4: Factors of 48917

List of positive integer factors of 48917 that divides 48901 without a remainder.

1, 11, 4447

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48901 and 48917. The biggest common factor number is the GCF number.
So the greatest common factor 48901 and 48917 is 1.

Also check out the Least Common Multiple of 48901 and 48917