What is the Greatest Common Factor of 216 and 229?
Greatest common factor (GCF) of 216 and 229 is 1.
GCF(216,229) = 1
We will now calculate the prime factors of 216 and 229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 216 and 229.
How to find the GCF of 216 and 229?
We will first find the prime factorization of 216 and 229. After we will calculate the factors of 216 and 229 and find the biggest common factor number .
Step-1: Prime Factorization of 216
Prime factors of 216 are 2, 3. Prime factorization of 216 in exponential form is:
216 = 23 × 33
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 216
List of positive integer factors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108
Step-4: Factors of 229
List of positive integer factors of 229 that divides 216 without a remainder.
1
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 216 and 229. The biggest common factor number is the GCF number.
So the greatest common factor 216 and 229 is 1.
Also check out the Least Common Multiple of 216 and 229
Related Greatest Common Factors of 216
- GCF of 216 and 220
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Related Greatest Common Factors of 229
- GCF of 229 and 233
- GCF of 229 and 234
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