What is the Greatest Common Factor of 212 and 228?
Greatest common factor (GCF) of 212 and 228 is 4.
GCF(212,228) = 4
We will now calculate the prime factors of 212 and 228, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 212 and 228.
How to find the GCF of 212 and 228?
We will first find the prime factorization of 212 and 228. After we will calculate the factors of 212 and 228 and find the biggest common factor number .
Step-1: Prime Factorization of 212
Prime factors of 212 are 2, 53. Prime factorization of 212 in exponential form is:
212 = 22 × 531
Step-2: Prime Factorization of 228
Prime factors of 228 are 2, 3, 19. Prime factorization of 228 in exponential form is:
228 = 22 × 31 × 191
Step-3: Factors of 212
List of positive integer factors of 212 that divides 212 without a remainder.
1, 2, 4, 53, 106
Step-4: Factors of 228
List of positive integer factors of 228 that divides 212 without a remainder.
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 212 and 228. The biggest common factor number is the GCF number.
So the greatest common factor 212 and 228 is 4.
Also check out the Least Common Multiple of 212 and 228
Related Greatest Common Factors of 212
- GCF of 212 and 216
- GCF of 212 and 217
- GCF of 212 and 218
- GCF of 212 and 219
- GCF of 212 and 220
- GCF of 212 and 221
- GCF of 212 and 222
- GCF of 212 and 223
- GCF of 212 and 224
- GCF of 212 and 225
- GCF of 212 and 226
- GCF of 212 and 227
- GCF of 212 and 228
- GCF of 212 and 229
- GCF of 212 and 230
- GCF of 212 and 231
- GCF of 212 and 232
Related Greatest Common Factors of 228
- GCF of 228 and 232
- GCF of 228 and 233
- GCF of 228 and 234
- GCF of 228 and 235
- GCF of 228 and 236
- GCF of 228 and 237
- GCF of 228 and 238
- GCF of 228 and 239
- GCF of 228 and 240
- GCF of 228 and 241
- GCF of 228 and 242
- GCF of 228 and 243
- GCF of 228 and 244
- GCF of 228 and 245
- GCF of 228 and 246
- GCF of 228 and 247
- GCF of 228 and 248