What is the Greatest Common Factor of 209 and 219?
Greatest common factor (GCF) of 209 and 219 is 1.
GCF(209,219) = 1
We will now calculate the prime factors of 209 and 219, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 209 and 219.
How to find the GCF of 209 and 219?
We will first find the prime factorization of 209 and 219. After we will calculate the factors of 209 and 219 and find the biggest common factor number .
Step-1: Prime Factorization of 209
Prime factors of 209 are 11, 19. Prime factorization of 209 in exponential form is:
209 = 111 × 191
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 209
List of positive integer factors of 209 that divides 209 without a remainder.
1, 11, 19
Step-4: Factors of 219
List of positive integer factors of 219 that divides 209 without a remainder.
1, 3, 73
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 209 and 219. The biggest common factor number is the GCF number.
So the greatest common factor 209 and 219 is 1.
Also check out the Least Common Multiple of 209 and 219
Related Greatest Common Factors of 209
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Related Greatest Common Factors of 219
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