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What is the Greatest Common Factor of 199 and 203?

Greatest common factor (GCF) of 199 and 203 is 1.

GCF(199,203) = 1

We will now calculate the prime factors of 199 and 203, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 199 and 203.

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How to find the GCF of 199 and 203?

We will first find the prime factorization of 199 and 203. After we will calculate the factors of 199 and 203 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 203

Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:

203 = 71 × 291

Step-3: Factors of 199

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

1

Step-4: Factors of 203

List of positive integer factors of 203 that divides 199 without a remainder.

1, 7, 29

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 199 and 203. The biggest common factor number is the GCF number.
So the greatest common factor 199 and 203 is 1.

Also check out the Least Common Multiple of 199 and 203