What is the Greatest Common Factor of 48801 and 48813?

Greatest common factor (GCF) of 48801 and 48813 is 3.

GCF(48801,48813) = 3

We will now calculate the prime factors of 48801 and 48813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48801 and 48813.

How to find the GCF of 48801 and 48813?

We will first find the prime factorization of 48801 and 48813. After we will calculate the factors of 48801 and 48813 and find the biggest common factor number .

Step-1: Prime Factorization of 48801

Prime factors of 48801 are 3, 16267. Prime factorization of 48801 in exponential form is:

48801 = 3¹ × 16267¹

Step-2: Prime Factorization of 48813

Prime factors of 48813 are 3, 53, 307. Prime factorization of 48813 in exponential form is:

48813 = 3¹ × 53¹ × 307¹

Step-3: Factors of 48801

List of positive integer factors of 48801 that divides 48801 without a remainder.

1, 3, 16267

Step-4: Factors of 48813

List of positive integer factors of 48813 that divides 48801 without a remainder.

1, 3, 53, 159, 307, 921, 16271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48801 and 48813. The biggest common factor number is the GCF number.
So the greatest common factor 48801 and 48813 is 3.

Also check out the Least Common Multiple of 48801 and 48813