What is the Greatest Common Factor of 199 and 219?

Greatest common factor (GCF) of 199 and 219 is 1.

GCF(199,219) = 1

We will now calculate the prime factors of 199 and 219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 199 and 219.

How to find the GCF of 199 and 219?

We will first find the prime factorization of 199 and 219. After we will calculate the factors of 199 and 219 and find the biggest common factor number .

Step-1: Prime Factorization of 199

Prime factors of 199 are 199. Prime factorization of 199 in exponential form is:

199 = 199¹

Step-2: Prime Factorization of 219

Prime factors of 219 are 3, 73. Prime factorization of 219 in exponential form is:

219 = 3¹ × 73¹

Step-3: Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

Step-4: Factors of 219

List of positive integer factors of 219 that divides 199 without a remainder.

1, 3, 73

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 199 and 219. The biggest common factor number is the GCF number.
So the greatest common factor 199 and 219 is 1.

Also check out the Least Common Multiple of 199 and 219