What is the Greatest Common Factor of 214 and 234?
Greatest common factor (GCF) of 214 and 234 is 2.
GCF(214,234) = 2
We will now calculate the prime factors of 214 and 234, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 214 and 234.
How to find the GCF of 214 and 234?
We will first find the prime factorization of 214 and 234. After we will calculate the factors of 214 and 234 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 234
Prime factors of 234 are 2, 3, 13. Prime factorization of 234 in exponential form is:
234 = 21 × 32 × 131
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 234
List of positive integer factors of 234 that divides 214 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 214 and 234. The biggest common factor number is the GCF number.
So the greatest common factor 214 and 234 is 2.
Also check out the Least Common Multiple of 214 and 234
Related Greatest Common Factors of 214
- GCF of 214 and 218
- GCF of 214 and 219
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- GCF of 214 and 233
- GCF of 214 and 234
Related Greatest Common Factors of 234
- GCF of 234 and 238
- GCF of 234 and 239
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- GCF of 234 and 242
- GCF of 234 and 243
- GCF of 234 and 244
- GCF of 234 and 245
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- GCF of 234 and 248
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- GCF of 234 and 251
- GCF of 234 and 252
- GCF of 234 and 253
- GCF of 234 and 254