What is the Greatest Common Factor of 12321 and 12340?
Greatest common factor (GCF) of 12321 and 12340 is 1.
GCF(12321,12340) = 1
We will now calculate the prime factors of 12321 and 12340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12321 and 12340.
How to find the GCF of 12321 and 12340?
We will first find the prime factorization of 12321 and 12340. After we will calculate the factors of 12321 and 12340 and find the biggest common factor number .
Step-1: Prime Factorization of 12321
Prime factors of 12321 are 3, 37. Prime factorization of 12321 in exponential form is:
12321 = 32 × 372
Step-2: Prime Factorization of 12340
Prime factors of 12340 are 2, 5, 617. Prime factorization of 12340 in exponential form is:
12340 = 22 × 51 × 6171
Step-3: Factors of 12321
List of positive integer factors of 12321 that divides 12321 without a remainder.
1, 3, 9, 37, 111, 333, 1369, 4107
Step-4: Factors of 12340
List of positive integer factors of 12340 that divides 12321 without a remainder.
1, 2, 4, 5, 10, 20, 617, 1234, 2468, 3085, 6170
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 12321 and 12340. The biggest common factor number is the GCF number.
So the greatest common factor 12321 and 12340 is 1.
Also check out the Least Common Multiple of 12321 and 12340
Related Greatest Common Factors of 12321
- GCF of 12321 and 12325
- GCF of 12321 and 12326
- GCF of 12321 and 12327
- GCF of 12321 and 12328
- GCF of 12321 and 12329
- GCF of 12321 and 12330
- GCF of 12321 and 12331
- GCF of 12321 and 12332
- GCF of 12321 and 12333
- GCF of 12321 and 12334
- GCF of 12321 and 12335
- GCF of 12321 and 12336
- GCF of 12321 and 12337
- GCF of 12321 and 12338
- GCF of 12321 and 12339
- GCF of 12321 and 12340
- GCF of 12321 and 12341
Related Greatest Common Factors of 12340
- GCF of 12340 and 12344
- GCF of 12340 and 12345
- GCF of 12340 and 12346
- GCF of 12340 and 12347
- GCF of 12340 and 12348
- GCF of 12340 and 12349
- GCF of 12340 and 12350
- GCF of 12340 and 12351
- GCF of 12340 and 12352
- GCF of 12340 and 12353
- GCF of 12340 and 12354
- GCF of 12340 and 12355
- GCF of 12340 and 12356
- GCF of 12340 and 12357
- GCF of 12340 and 12358
- GCF of 12340 and 12359
- GCF of 12340 and 12360