What is the Greatest Common Factor of 194 and 208?
Greatest common factor (GCF) of 194 and 208 is 2.
GCF(194,208) = 2
We will now calculate the prime factors of 194 and 208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 194 and 208.
How to find the GCF of 194 and 208?
We will first find the prime factorization of 194 and 208. After we will calculate the factors of 194 and 208 and find the biggest common factor number .
Step-1: Prime Factorization of 194
Prime factors of 194 are 2, 97. Prime factorization of 194 in exponential form is:
194 = 21 × 971
Step-2: Prime Factorization of 208
Prime factors of 208 are 2, 13. Prime factorization of 208 in exponential form is:
208 = 24 × 131
Step-3: Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1, 2, 97
Step-4: Factors of 208
List of positive integer factors of 208 that divides 194 without a remainder.
1, 2, 4, 8, 13, 16, 26, 52, 104
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 194 and 208. The biggest common factor number is the GCF number.
So the greatest common factor 194 and 208 is 2.
Also check out the Least Common Multiple of 194 and 208
Related Greatest Common Factors of 194
- GCF of 194 and 198
- GCF of 194 and 199
- GCF of 194 and 200
- GCF of 194 and 201
- GCF of 194 and 202
- GCF of 194 and 203
- GCF of 194 and 204
- GCF of 194 and 205
- GCF of 194 and 206
- GCF of 194 and 207
- GCF of 194 and 208
- GCF of 194 and 209
- GCF of 194 and 210
- GCF of 194 and 211
- GCF of 194 and 212
- GCF of 194 and 213
- GCF of 194 and 214
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