What is the Greatest Common Factor of 195 and 213?
Greatest common factor (GCF) of 195 and 213 is 3.
GCF(195,213) = 3
We will now calculate the prime factors of 195 and 213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 195 and 213.
How to find the GCF of 195 and 213?
We will first find the prime factorization of 195 and 213. After we will calculate the factors of 195 and 213 and find the biggest common factor number .
Step-1: Prime Factorization of 195
Prime factors of 195 are 3, 5, 13. Prime factorization of 195 in exponential form is:
195 = 31 × 51 × 131
Step-2: Prime Factorization of 213
Prime factors of 213 are 3, 71. Prime factorization of 213 in exponential form is:
213 = 31 × 711
Step-3: Factors of 195
List of positive integer factors of 195 that divides 195 without a remainder.
1, 3, 5, 13, 15, 39, 65
Step-4: Factors of 213
List of positive integer factors of 213 that divides 195 without a remainder.
1, 3, 71
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 195 and 213. The biggest common factor number is the GCF number.
So the greatest common factor 195 and 213 is 3.
Also check out the Least Common Multiple of 195 and 213
Related Greatest Common Factors of 195
- GCF of 195 and 199
- GCF of 195 and 200
- GCF of 195 and 201
- GCF of 195 and 202
- GCF of 195 and 203
- GCF of 195 and 204
- GCF of 195 and 205
- GCF of 195 and 206
- GCF of 195 and 207
- GCF of 195 and 208
- GCF of 195 and 209
- GCF of 195 and 210
- GCF of 195 and 211
- GCF of 195 and 212
- GCF of 195 and 213
- GCF of 195 and 214
- GCF of 195 and 215
Related Greatest Common Factors of 213
- GCF of 213 and 217
- GCF of 213 and 218
- GCF of 213 and 219
- GCF of 213 and 220
- GCF of 213 and 221
- GCF of 213 and 222
- GCF of 213 and 223
- GCF of 213 and 224
- GCF of 213 and 225
- GCF of 213 and 226
- GCF of 213 and 227
- GCF of 213 and 228
- GCF of 213 and 229
- GCF of 213 and 230
- GCF of 213 and 231
- GCF of 213 and 232
- GCF of 213 and 233