What is the Greatest Common Factor of 48891 and 48897?

Greatest common factor (GCF) of 48891 and 48897 is 3.

GCF(48891,48897) = 3

We will now calculate the prime factors of 48891 and 48897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48891 and 48897.

How to find the GCF of 48891 and 48897?

We will first find the prime factorization of 48891 and 48897. After we will calculate the factors of 48891 and 48897 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 48897

Prime factors of 48897 are 3, 1811. Prime factorization of 48897 in exponential form is:

48897 = 3³ × 1811¹

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 48897

List of positive integer factors of 48897 that divides 48891 without a remainder.

1, 3, 9, 27, 1811, 5433, 16299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48891 and 48897. The biggest common factor number is the GCF number.
So the greatest common factor 48891 and 48897 is 3.

Also check out the Least Common Multiple of 48891 and 48897