What is the Greatest Common Factor of 48891 and 48901?

Greatest common factor (GCF) of 48891 and 48901 is 1.

GCF(48891,48901) = 1

We will now calculate the prime factors of 48891 and 48901, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48891 and 48901.

How to find the GCF of 48891 and 48901?

We will first find the prime factorization of 48891 and 48901. After we will calculate the factors of 48891 and 48901 and find the biggest common factor number .

Step-1: Prime Factorization of 48891

Prime factors of 48891 are 3, 43, 379. Prime factorization of 48891 in exponential form is:

48891 = 3¹ × 43¹ × 379¹

Step-2: Prime Factorization of 48901

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

48901 = 79¹ × 619¹

Step-3: Factors of 48891

List of positive integer factors of 48891 that divides 48891 without a remainder.

1, 3, 43, 129, 379, 1137, 16297

Step-4: Factors of 48901

List of positive integer factors of 48901 that divides 48891 without a remainder.

1, 79, 619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48891 and 48901. The biggest common factor number is the GCF number.
So the greatest common factor 48891 and 48901 is 1.

Also check out the Least Common Multiple of 48891 and 48901