What is the Greatest Common Factor of 217 and 235?
Greatest common factor (GCF) of 217 and 235 is 1.
GCF(217,235) = 1
We will now calculate the prime factors of 217 and 235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 217 and 235.
How to find the GCF of 217 and 235?
We will first find the prime factorization of 217 and 235. After we will calculate the factors of 217 and 235 and find the biggest common factor number .
Step-1: Prime Factorization of 217
Prime factors of 217 are 7, 31. Prime factorization of 217 in exponential form is:
217 = 71 × 311
Step-2: Prime Factorization of 235
Prime factors of 235 are 5, 47. Prime factorization of 235 in exponential form is:
235 = 51 × 471
Step-3: Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1, 7, 31
Step-4: Factors of 235
List of positive integer factors of 235 that divides 217 without a remainder.
1, 5, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 217 and 235. The biggest common factor number is the GCF number.
So the greatest common factor 217 and 235 is 1.
Also check out the Least Common Multiple of 217 and 235
Related Greatest Common Factors of 217
- GCF of 217 and 221
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- GCF of 217 and 223
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- GCF of 217 and 225
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- 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
Related Greatest Common Factors of 235
- GCF of 235 and 239
- GCF of 235 and 240
- GCF of 235 and 241
- GCF of 235 and 242
- GCF of 235 and 243
- GCF of 235 and 244
- GCF of 235 and 245
- GCF of 235 and 246
- GCF of 235 and 247
- GCF of 235 and 248
- GCF of 235 and 249
- GCF of 235 and 250
- GCF of 235 and 251
- GCF of 235 and 252
- GCF of 235 and 253
- GCF of 235 and 254
- GCF of 235 and 255