What is the Greatest Common Factor of 214 and 229?
Greatest common factor (GCF) of 214 and 229 is 1.
GCF(214,229) = 1
We will now calculate the prime factors of 214 and 229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 214 and 229.
How to find the GCF of 214 and 229?
We will first find the prime factorization of 214 and 229. After we will calculate the factors of 214 and 229 and find the biggest common factor number .
Step-1: Prime Factorization of 214
Prime factors of 214 are 2, 107. Prime factorization of 214 in exponential form is:
214 = 21 × 1071
Step-2: Prime Factorization of 229
Prime factors of 229 are 229. Prime factorization of 229 in exponential form is:
229 = 2291
Step-3: Factors of 214
List of positive integer factors of 214 that divides 214 without a remainder.
1, 2, 107
Step-4: Factors of 229
List of positive integer factors of 229 that divides 214 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 214 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 214 and 229 is 1.
Also check out the Least Common Multiple of 214 and 229
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
Related Greatest Common Factors of 229
- GCF of 229 and 233
- GCF of 229 and 234
- GCF of 229 and 235
- GCF of 229 and 236
- GCF of 229 and 237
- GCF of 229 and 238
- GCF of 229 and 239
- GCF of 229 and 240
- GCF of 229 and 241
- GCF of 229 and 242
- GCF of 229 and 243
- GCF of 229 and 244
- GCF of 229 and 245
- GCF of 229 and 246
- GCF of 229 and 247
- GCF of 229 and 248
- GCF of 229 and 249