What is the Greatest Common Factor of 208 and 215?
Greatest common factor (GCF) of 208 and 215 is 1.
GCF(208,215) = 1
We will now calculate the prime factors of 208 and 215, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 208 and 215.
How to find the GCF of 208 and 215?
We will first find the prime factorization of 208 and 215. After we will calculate the factors of 208 and 215 and find the biggest common factor number .
Step-1: Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Step-2: Prime Factorization of 215
Prime factors of 215 are 5, 43. Prime factorization of 215 in exponential form is:
215 = 51 × 431
Step-3: Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104
Step-4: Factors of 215
List of positive integer factors of 215 that divides 208 without a remainder.
1, 5, 43
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 208 and 215. The biggest common factor number is the GCF number.
So the greatest common factor 208 and 215 is 1.
Also check out the Least Common Multiple of 208 and 215
Related Greatest Common Factors of 208
- GCF of 208 and 212
- GCF of 208 and 213
- GCF of 208 and 214
- GCF of 208 and 215
- GCF of 208 and 216
- GCF of 208 and 217
- GCF of 208 and 218
- GCF of 208 and 219
- GCF of 208 and 220
- GCF of 208 and 221
- GCF of 208 and 222
- GCF of 208 and 223
- GCF of 208 and 224
- GCF of 208 and 225
- GCF of 208 and 226
- GCF of 208 and 227
- GCF of 208 and 228
Related Greatest Common Factors of 215
- GCF of 215 and 219
- GCF of 215 and 220
- GCF of 215 and 221
- GCF of 215 and 222
- GCF of 215 and 223
- GCF of 215 and 224
- GCF of 215 and 225
- GCF of 215 and 226
- GCF of 215 and 227
- GCF of 215 and 228
- GCF of 215 and 229
- GCF of 215 and 230
- GCF of 215 and 231
- GCF of 215 and 232
- GCF of 215 and 233
- GCF of 215 and 234
- GCF of 215 and 235