What is the Greatest Common Factor of 180 and 199?

Greatest common factor (GCF) of 180 and 199 is 1.

GCF(180,199) = 1

We will now calculate the prime factors of 180 and 199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 180 and 199.

How to find the GCF of 180 and 199?

We will first find the prime factorization of 180 and 199. After we will calculate the factors of 180 and 199 and find the biggest common factor number .

Step-1: Prime Factorization of 180

Prime factors of 180 are 2, 3, 5. Prime factorization of 180 in exponential form is:

180 = 2² × 3² × 5¹

Step-2: Prime Factorization of 199

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

199 = 199¹

Step-3: Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90

Step-4: Factors of 199

List of positive integer factors of 199 that divides 180 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 180 and 199. The biggest common factor number is the GCF number.
So the greatest common factor 180 and 199 is 1.

Also check out the Least Common Multiple of 180 and 199