What is the Greatest Common Factor of 47193 and 47199?

Greatest common factor (GCF) of 47193 and 47199 is 3.

GCF(47193,47199) = 3

We will now calculate the prime factors of 47193 and 47199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47193 and 47199.

How to find the GCF of 47193 and 47199?

We will first find the prime factorization of 47193 and 47199. After we will calculate the factors of 47193 and 47199 and find the biggest common factor number .

Step-1: Prime Factorization of 47193

Prime factors of 47193 are 3, 15731. Prime factorization of 47193 in exponential form is:

47193 = 3¹ × 15731¹

Step-2: Prime Factorization of 47199

Prime factors of 47199 are 3, 15733. Prime factorization of 47199 in exponential form is:

47199 = 3¹ × 15733¹

Step-3: Factors of 47193

List of positive integer factors of 47193 that divides 47193 without a remainder.

1, 3, 15731

Step-4: Factors of 47199

List of positive integer factors of 47199 that divides 47193 without a remainder.

1, 3, 15733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47193 and 47199. The biggest common factor number is the GCF number.
So the greatest common factor 47193 and 47199 is 3.

Also check out the Least Common Multiple of 47193 and 47199