What is the Greatest Common Factor of 12204 and 12213?
Greatest common factor (GCF) of 12204 and 12213 is 9.
GCF(12204,12213) = 9
We will now calculate the prime factors of 12204 and 12213, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12204 and 12213.
How to find the GCF of 12204 and 12213?
We will first find the prime factorization of 12204 and 12213. After we will calculate the factors of 12204 and 12213 and find the biggest common factor number .
Step-1: Prime Factorization of 12204
Prime factors of 12204 are 2, 3, 113. Prime factorization of 12204 in exponential form is:
12204 = 22 × 33 × 1131
Step-2: Prime Factorization of 12213
Prime factors of 12213 are 3, 23, 59. Prime factorization of 12213 in exponential form is:
12213 = 32 × 231 × 591
Step-3: Factors of 12204
List of positive integer factors of 12204 that divides 12204 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102
Step-4: Factors of 12213
List of positive integer factors of 12213 that divides 12204 without a remainder.
1, 3, 9, 23, 59, 69, 177, 207, 531, 1357, 4071
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12204 and 12213. The biggest common factor number is the GCF number.
So the greatest common factor 12204 and 12213 is 9.
Also check out the Least Common Multiple of 12204 and 12213
Related Greatest Common Factors of 12204
- GCF of 12204 and 12208
- GCF of 12204 and 12209
- GCF of 12204 and 12210
- GCF of 12204 and 12211
- GCF of 12204 and 12212
- GCF of 12204 and 12213
- GCF of 12204 and 12214
- GCF of 12204 and 12215
- GCF of 12204 and 12216
- GCF of 12204 and 12217
- GCF of 12204 and 12218
- GCF of 12204 and 12219
- GCF of 12204 and 12220
- GCF of 12204 and 12221
- GCF of 12204 and 12222
- GCF of 12204 and 12223
- GCF of 12204 and 12224
Related Greatest Common Factors of 12213
- GCF of 12213 and 12217
- GCF of 12213 and 12218
- GCF of 12213 and 12219
- GCF of 12213 and 12220
- GCF of 12213 and 12221
- GCF of 12213 and 12222
- GCF of 12213 and 12223
- GCF of 12213 and 12224
- GCF of 12213 and 12225
- GCF of 12213 and 12226
- GCF of 12213 and 12227
- GCF of 12213 and 12228
- GCF of 12213 and 12229
- GCF of 12213 and 12230
- GCF of 12213 and 12231
- GCF of 12213 and 12232
- GCF of 12213 and 12233