What is the Greatest Common Factor of 189 and 199?
Greatest common factor (GCF) of 189 and 199 is 1.
GCF(189,199) = 1
We will now calculate the prime factors of 189 and 199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 189 and 199.
How to find the GCF of 189 and 199?
We will first find the prime factorization of 189 and 199. After we will calculate the factors of 189 and 199 and find the biggest common factor number .
Step-1: Prime Factorization of 189
Prime factors of 189 are 3, 7. Prime factorization of 189 in exponential form is:
189 = 33 × 71
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 189
List of positive integer factors of 189 that divides 189 without a remainder.
1, 3, 7, 9, 21, 27, 63
Step-4: Factors of 199
List of positive integer factors of 199 that divides 189 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 189 and 199. The biggest common factor number is the GCF number.
So the greatest common factor 189 and 199 is 1.
Also check out the Least Common Multiple of 189 and 199
Related Greatest Common Factors of 189
- GCF of 189 and 193
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- GCF of 189 and 199
- GCF of 189 and 200
- GCF of 189 and 201
- GCF of 189 and 202
- GCF of 189 and 203
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Related Greatest Common Factors of 199
- GCF of 199 and 203
- GCF of 199 and 204
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- GCF of 199 and 206
- GCF of 199 and 207
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- GCF of 199 and 210
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