What is the Greatest Common Factor of 198 and 205?
Greatest common factor (GCF) of 198 and 205 is 1.
GCF(198,205) = 1
We will now calculate the prime factors of 198 and 205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 198 and 205.
How to find the GCF of 198 and 205?
We will first find the prime factorization of 198 and 205. After we will calculate the factors of 198 and 205 and find the biggest common factor number .
Step-1: Prime Factorization of 198
Prime factors of 198 are 2, 3, 11. Prime factorization of 198 in exponential form is:
198 = 21 × 32 × 111
Step-2: Prime Factorization of 205
Prime factors of 205 are 5, 41. Prime factorization of 205 in exponential form is:
205 = 51 × 411
Step-3: Factors of 198
List of positive integer factors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99
Step-4: Factors of 205
List of positive integer factors of 205 that divides 198 without a remainder.
1, 5, 41
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 198 and 205. The biggest common factor number is the GCF number.
So the greatest common factor 198 and 205 is 1.
Also check out the Least Common Multiple of 198 and 205
Related Greatest Common Factors of 198
- GCF of 198 and 202
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Related Greatest Common Factors of 205
- GCF of 205 and 209
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