What is the Greatest Common Factor of 218 and 235?
Greatest common factor (GCF) of 218 and 235 is 1.
GCF(218,235) = 1
We will now calculate the prime factors of 218 and 235, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 218 and 235.
How to find the GCF of 218 and 235?
We will first find the prime factorization of 218 and 235. After we will calculate the factors of 218 and 235 and find the biggest common factor number .
Step-1: Prime Factorization of 218
Prime factors of 218 are 2, 109. Prime factorization of 218 in exponential form is:
218 = 21 × 1091
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 218
List of positive integer factors of 218 that divides 218 without a remainder.
1, 2, 109
Step-4: Factors of 235
List of positive integer factors of 235 that divides 218 without a remainder.
1, 5, 47
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 218 and 235. The biggest common factor number is the GCF number.
So the greatest common factor 218 and 235 is 1.
Also check out the Least Common Multiple of 218 and 235
Related Greatest Common Factors of 218
- GCF of 218 and 222
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- GCF of 218 and 235
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- GCF of 218 and 237
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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