What is the Greatest Common Factor of 199 and 217?
Greatest common factor (GCF) of 199 and 217 is 1.
GCF(199,217) = 1
We will now calculate the prime factors of 199 and 217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 199 and 217.
How to find the GCF of 199 and 217?
We will first find the prime factorization of 199 and 217. After we will calculate the factors of 199 and 217 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 217
Prime factors of 217 are 7, 31. Prime factorization of 217 in exponential form is:
217 = 71 × 311
Step-3: Factors of 199
List of positive integer factors of 199 that divides 199 without a remainder.
1
Step-4: Factors of 217
List of positive integer factors of 217 that divides 199 without a remainder.
1, 7, 31
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 199 and 217. The biggest common factor number is the GCF number.
So the greatest common factor 199 and 217 is 1.
Also check out the Least Common Multiple of 199 and 217
Related Greatest Common Factors of 199
- GCF of 199 and 203
- GCF of 199 and 204
- GCF of 199 and 205
- GCF of 199 and 206
- GCF of 199 and 207
- GCF of 199 and 208
- GCF of 199 and 209
- GCF of 199 and 210
- GCF of 199 and 211
- GCF of 199 and 212
- GCF of 199 and 213
- GCF of 199 and 214
- GCF of 199 and 215
- GCF of 199 and 216
- GCF of 199 and 217
- GCF of 199 and 218
- GCF of 199 and 219
Related Greatest Common Factors of 217
- GCF of 217 and 221
- GCF of 217 and 222
- GCF of 217 and 223
- GCF of 217 and 224
- GCF of 217 and 225
- GCF of 217 and 226
- GCF of 217 and 227
- GCF of 217 and 228
- GCF of 217 and 229
- GCF of 217 and 230
- GCF of 217 and 231
- GCF of 217 and 232
- GCF of 217 and 233
- GCF of 217 and 234
- GCF of 217 and 235
- GCF of 217 and 236
- GCF of 217 and 237