What is the Greatest Common Factor of 323 and 342?
Greatest common factor (GCF) of 323 and 342 is 19.
GCF(323,342) = 19
We will now calculate the prime factors of 323 and 342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 323 and 342.
How to find the GCF of 323 and 342?
We will first find the prime factorization of 323 and 342. After we will calculate the factors of 323 and 342 and find the biggest common factor number .
Step-1: Prime Factorization of 323
Prime factors of 323 are 17, 19. Prime factorization of 323 in exponential form is:
323 = 171 × 191
Step-2: Prime Factorization of 342
Prime factors of 342 are 2, 3, 19. Prime factorization of 342 in exponential form is:
342 = 21 × 32 × 191
Step-3: Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1, 17, 19
Step-4: Factors of 342
List of positive integer factors of 342 that divides 323 without a remainder.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 323 and 342. The biggest common factor number is the GCF number.
So the greatest common factor 323 and 342 is 19.
Also check out the Least Common Multiple of 323 and 342
Related Greatest Common Factors of 323
- GCF of 323 and 327
- GCF of 323 and 328
- GCF of 323 and 329
- GCF of 323 and 330
- GCF of 323 and 331
- GCF of 323 and 332
- GCF of 323 and 333
- GCF of 323 and 334
- GCF of 323 and 335
- GCF of 323 and 336
- GCF of 323 and 337
- GCF of 323 and 338
- GCF of 323 and 339
- GCF of 323 and 340
- GCF of 323 and 341
- GCF of 323 and 342
- GCF of 323 and 343
Related Greatest Common Factors of 342
- GCF of 342 and 346
- GCF of 342 and 347
- GCF of 342 and 348
- GCF of 342 and 349
- GCF of 342 and 350
- GCF of 342 and 351
- GCF of 342 and 352
- GCF of 342 and 353
- GCF of 342 and 354
- GCF of 342 and 355
- GCF of 342 and 356
- GCF of 342 and 357
- GCF of 342 and 358
- GCF of 342 and 359
- GCF of 342 and 360
- GCF of 342 and 361
- GCF of 342 and 362