What is the Greatest Common Factor of 321 and 336?
Greatest common factor (GCF) of 321 and 336 is 3.
GCF(321,336) = 3
We will now calculate the prime factors of 321 and 336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 321 and 336.
How to find the GCF of 321 and 336?
We will first find the prime factorization of 321 and 336. After we will calculate the factors of 321 and 336 and find the biggest common factor number .
Step-1: Prime Factorization of 321
Prime factors of 321 are 3, 107. Prime factorization of 321 in exponential form is:
321 = 31 × 1071
Step-2: Prime Factorization of 336
Prime factors of 336 are 2, 3, 7. Prime factorization of 336 in exponential form is:
336 = 24 × 31 × 71
Step-3: Factors of 321
List of positive integer factors of 321 that divides 321 without a remainder.
1, 3, 107
Step-4: Factors of 336
List of positive integer factors of 336 that divides 321 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 321 and 336. The biggest common factor number is the GCF number.
So the greatest common factor 321 and 336 is 3.
Also check out the Least Common Multiple of 321 and 336
Related Greatest Common Factors of 321
- GCF of 321 and 325
- GCF of 321 and 326
- GCF of 321 and 327
- GCF of 321 and 328
- GCF of 321 and 329
- GCF of 321 and 330
- GCF of 321 and 331
- GCF of 321 and 332
- GCF of 321 and 333
- GCF of 321 and 334
- GCF of 321 and 335
- GCF of 321 and 336
- GCF of 321 and 337
- GCF of 321 and 338
- GCF of 321 and 339
- GCF of 321 and 340
- GCF of 321 and 341
Related Greatest Common Factors of 336
- GCF of 336 and 340
- GCF of 336 and 341
- GCF of 336 and 342
- GCF of 336 and 343
- GCF of 336 and 344
- GCF of 336 and 345
- GCF of 336 and 346
- GCF of 336 and 347
- GCF of 336 and 348
- GCF of 336 and 349
- GCF of 336 and 350
- GCF of 336 and 351
- GCF of 336 and 352
- GCF of 336 and 353
- GCF of 336 and 354
- GCF of 336 and 355
- GCF of 336 and 356