What is the Greatest Common Factor of 216 and 225?
Greatest common factor (GCF) of 216 and 225 is 9.
GCF(216,225) = 9
We will now calculate the prime factors of 216 and 225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 216 and 225.
How to find the GCF of 216 and 225?
We will first find the prime factorization of 216 and 225. After we will calculate the factors of 216 and 225 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 225
Prime factors of 225 are 3, 5. Prime factorization of 225 in exponential form is:
225 = 32 × 52
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 225
List of positive integer factors of 225 that divides 216 without a remainder.
1, 3, 5, 9, 15, 25, 45, 75
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 216 and 225. The biggest common factor number is the GCF number.
So the greatest common factor 216 and 225 is 9.
Also check out the Least Common Multiple of 216 and 225
Related Greatest Common Factors of 216
- GCF of 216 and 220
- GCF of 216 and 221
- GCF of 216 and 222
- GCF of 216 and 223
- GCF of 216 and 224
- GCF of 216 and 225
- GCF of 216 and 226
- GCF of 216 and 227
- GCF of 216 and 228
- GCF of 216 and 229
- GCF of 216 and 230
- GCF of 216 and 231
- GCF of 216 and 232
- GCF of 216 and 233
- GCF of 216 and 234
- GCF of 216 and 235
- GCF of 216 and 236
Related Greatest Common Factors of 225
- GCF of 225 and 229
- GCF of 225 and 230
- GCF of 225 and 231
- GCF of 225 and 232
- GCF of 225 and 233
- GCF of 225 and 234
- GCF of 225 and 235
- GCF of 225 and 236
- GCF of 225 and 237
- GCF of 225 and 238
- GCF of 225 and 239
- GCF of 225 and 240
- GCF of 225 and 241
- GCF of 225 and 242
- GCF of 225 and 243
- GCF of 225 and 244
- GCF of 225 and 245