What is the Greatest Common Factor of 12201 and 12210?
Greatest common factor (GCF) of 12201 and 12210 is 3.
GCF(12201,12210) = 3
We will now calculate the prime factors of 12201 and 12210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12201 and 12210.
How to find the GCF of 12201 and 12210?
We will first find the prime factorization of 12201 and 12210. After we will calculate the factors of 12201 and 12210 and find the biggest common factor number .
Step-1: Prime Factorization of 12201
Prime factors of 12201 are 3, 7, 83. Prime factorization of 12201 in exponential form is:
12201 = 31 × 72 × 831
Step-2: Prime Factorization of 12210
Prime factors of 12210 are 2, 3, 5, 11, 37. Prime factorization of 12210 in exponential form is:
12210 = 21 × 31 × 51 × 111 × 371
Step-3: Factors of 12201
List of positive integer factors of 12201 that divides 12201 without a remainder.
1, 3, 7, 21, 49, 83, 147, 249, 581, 1743, 4067
Step-4: Factors of 12210
List of positive integer factors of 12210 that divides 12201 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 37, 55, 66, 74, 110, 111, 165, 185, 222, 330, 370, 407, 555, 814, 1110, 1221, 2035, 2442, 4070, 6105
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12201 and 12210. The biggest common factor number is the GCF number.
So the greatest common factor 12201 and 12210 is 3.
Also check out the Least Common Multiple of 12201 and 12210
Related Greatest Common Factors of 12201
- GCF of 12201 and 12205
- GCF of 12201 and 12206
- GCF of 12201 and 12207
- GCF of 12201 and 12208
- GCF of 12201 and 12209
- GCF of 12201 and 12210
- GCF of 12201 and 12211
- GCF of 12201 and 12212
- GCF of 12201 and 12213
- GCF of 12201 and 12214
- GCF of 12201 and 12215
- GCF of 12201 and 12216
- GCF of 12201 and 12217
- GCF of 12201 and 12218
- GCF of 12201 and 12219
- GCF of 12201 and 12220
- GCF of 12201 and 12221
Related Greatest Common Factors of 12210
- GCF of 12210 and 12214
- GCF of 12210 and 12215
- GCF of 12210 and 12216
- GCF of 12210 and 12217
- GCF of 12210 and 12218
- GCF of 12210 and 12219
- GCF of 12210 and 12220
- GCF of 12210 and 12221
- GCF of 12210 and 12222
- GCF of 12210 and 12223
- GCF of 12210 and 12224
- GCF of 12210 and 12225
- GCF of 12210 and 12226
- GCF of 12210 and 12227
- GCF of 12210 and 12228
- GCF of 12210 and 12229
- GCF of 12210 and 12230