What is the Greatest Common Factor of 48005 and 48019?

Greatest common factor (GCF) of 48005 and 48019 is 1.

GCF(48005,48019) = 1

We will now calculate the prime factors of 48005 and 48019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48005 and 48019.

How to find the GCF of 48005 and 48019?

We will first find the prime factorization of 48005 and 48019. After we will calculate the factors of 48005 and 48019 and find the biggest common factor number .

Step-1: Prime Factorization of 48005

Prime factors of 48005 are 5, 9601. Prime factorization of 48005 in exponential form is:

48005 = 5¹ × 9601¹

Step-2: Prime Factorization of 48019

Prime factors of 48019 are 31, 1549. Prime factorization of 48019 in exponential form is:

48019 = 31¹ × 1549¹

Step-3: Factors of 48005

List of positive integer factors of 48005 that divides 48005 without a remainder.

1, 5, 9601

Step-4: Factors of 48019

List of positive integer factors of 48019 that divides 48005 without a remainder.

1, 31, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48005 and 48019. The biggest common factor number is the GCF number.
So the greatest common factor 48005 and 48019 is 1.

Also check out the Least Common Multiple of 48005 and 48019