What is the Greatest Common Factor of 197 and 214?
Greatest common factor (GCF) of 197 and 214 is 1.
GCF(197,214) = 1
We will now calculate the prime factors of 197 and 214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 197 and 214.
How to find the GCF of 197 and 214?
We will first find the prime factorization of 197 and 214. After we will calculate the factors of 197 and 214 and find the biggest common factor number .
Step-1: Prime Factorization of 197
Prime factors of 197 are 197. Prime factorization of 197 in exponential form is:
197 = 1971
Step-2: Prime Factorization of 214
Prime factors of 214 are 2, 107. Prime factorization of 214 in exponential form is:
214 = 21 × 1071
Step-3: Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1
Step-4: Factors of 214
List of positive integer factors of 214 that divides 197 without a remainder.
1, 2, 107
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 197 and 214. The biggest common factor number is the GCF number.
So the greatest common factor 197 and 214 is 1.
Also check out the Least Common Multiple of 197 and 214
Related Greatest Common Factors of 197
- GCF of 197 and 201
- GCF of 197 and 202
- GCF of 197 and 203
- GCF of 197 and 204
- GCF of 197 and 205
- GCF of 197 and 206
- GCF of 197 and 207
- GCF of 197 and 208
- GCF of 197 and 209
- GCF of 197 and 210
- GCF of 197 and 211
- GCF of 197 and 212
- GCF of 197 and 213
- GCF of 197 and 214
- GCF of 197 and 215
- GCF of 197 and 216
- GCF of 197 and 217
Related Greatest Common Factors of 214
- GCF of 214 and 218
- GCF of 214 and 219
- GCF of 214 and 220
- GCF of 214 and 221
- GCF of 214 and 222
- GCF of 214 and 223
- GCF of 214 and 224
- GCF of 214 and 225
- GCF of 214 and 226
- GCF of 214 and 227
- GCF of 214 and 228
- GCF of 214 and 229
- GCF of 214 and 230
- GCF of 214 and 231
- GCF of 214 and 232
- GCF of 214 and 233
- GCF of 214 and 234