What is the Greatest Common Factor of 13209 and 13224?
Greatest common factor (GCF) of 13209 and 13224 is 3.
GCF(13209,13224) = 3
We will now calculate the prime factors of 13209 and 13224, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13209 and 13224.
How to find the GCF of 13209 and 13224?
We will first find the prime factorization of 13209 and 13224. After we will calculate the factors of 13209 and 13224 and find the biggest common factor number .
Step-1: Prime Factorization of 13209
Prime factors of 13209 are 3, 7, 17, 37. Prime factorization of 13209 in exponential form is:
13209 = 31 × 71 × 171 × 371
Step-2: Prime Factorization of 13224
Prime factors of 13224 are 2, 3, 19, 29. Prime factorization of 13224 in exponential form is:
13224 = 23 × 31 × 191 × 291
Step-3: Factors of 13209
List of positive integer factors of 13209 that divides 13209 without a remainder.
1, 3, 7, 17, 21, 37, 51, 111, 119, 259, 357, 629, 777, 1887, 4403
Step-4: Factors of 13224
List of positive integer factors of 13224 that divides 13209 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 29, 38, 57, 58, 76, 87, 114, 116, 152, 174, 228, 232, 348, 456, 551, 696, 1102, 1653, 2204, 3306, 4408, 6612
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 13209 and 13224. The biggest common factor number is the GCF number.
So the greatest common factor 13209 and 13224 is 3.
Also check out the Least Common Multiple of 13209 and 13224
Related Greatest Common Factors of 13209
- GCF of 13209 and 13213
- GCF of 13209 and 13214
- GCF of 13209 and 13215
- GCF of 13209 and 13216
- GCF of 13209 and 13217
- GCF of 13209 and 13218
- GCF of 13209 and 13219
- GCF of 13209 and 13220
- GCF of 13209 and 13221
- GCF of 13209 and 13222
- GCF of 13209 and 13223
- GCF of 13209 and 13224
- GCF of 13209 and 13225
- GCF of 13209 and 13226
- GCF of 13209 and 13227
- GCF of 13209 and 13228
- GCF of 13209 and 13229
Related Greatest Common Factors of 13224
- GCF of 13224 and 13228
- GCF of 13224 and 13229
- GCF of 13224 and 13230
- GCF of 13224 and 13231
- GCF of 13224 and 13232
- GCF of 13224 and 13233
- GCF of 13224 and 13234
- GCF of 13224 and 13235
- GCF of 13224 and 13236
- GCF of 13224 and 13237
- GCF of 13224 and 13238
- GCF of 13224 and 13239
- GCF of 13224 and 13240
- GCF of 13224 and 13241
- GCF of 13224 and 13242
- GCF of 13224 and 13243
- GCF of 13224 and 13244