What is the Greatest Common Factor of 203 and 209?
Greatest common factor (GCF) of 203 and 209 is 1.
GCF(203,209) = 1
We will now calculate the prime factors of 203 and 209, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 203 and 209.
How to find the GCF of 203 and 209?
We will first find the prime factorization of 203 and 209. After we will calculate the factors of 203 and 209 and find the biggest common factor number .
Step-1: Prime Factorization of 203
Prime factors of 203 are 7, 29. Prime factorization of 203 in exponential form is:
203 = 71 × 291
Step-2: Prime Factorization of 209
Prime factors of 209 are 11, 19. Prime factorization of 209 in exponential form is:
209 = 111 × 191
Step-3: Factors of 203
List of positive integer factors of 203 that divides 203 without a remainder.
1, 7, 29
Step-4: Factors of 209
List of positive integer factors of 209 that divides 203 without a remainder.
1, 11, 19
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 203 and 209. The biggest common factor number is the GCF number.
So the greatest common factor 203 and 209 is 1.
Also check out the Least Common Multiple of 203 and 209
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