What is the Greatest Common Factor of 48795 and 48805?

Greatest common factor (GCF) of 48795 and 48805 is 5.

GCF(48795,48805) = 5

We will now calculate the prime factors of 48795 and 48805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48795 and 48805.

How to find the GCF of 48795 and 48805?

We will first find the prime factorization of 48795 and 48805. After we will calculate the factors of 48795 and 48805 and find the biggest common factor number .

Step-1: Prime Factorization of 48795

Prime factors of 48795 are 3, 5, 3253. Prime factorization of 48795 in exponential form is:

48795 = 3¹ × 5¹ × 3253¹

Step-2: Prime Factorization of 48805

Prime factors of 48805 are 5, 43, 227. Prime factorization of 48805 in exponential form is:

48805 = 5¹ × 43¹ × 227¹

Step-3: Factors of 48795

List of positive integer factors of 48795 that divides 48795 without a remainder.

1, 3, 5, 15, 3253, 9759, 16265

Step-4: Factors of 48805

List of positive integer factors of 48805 that divides 48795 without a remainder.

1, 5, 43, 215, 227, 1135, 9761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48795 and 48805. The biggest common factor number is the GCF number.
So the greatest common factor 48795 and 48805 is 5.

Also check out the Least Common Multiple of 48795 and 48805