What is the Greatest Common Factor of 321 and 330?
Greatest common factor (GCF) of 321 and 330 is 3.
GCF(321,330) = 3
We will now calculate the prime factors of 321 and 330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 321 and 330.
How to find the GCF of 321 and 330?
We will first find the prime factorization of 321 and 330. After we will calculate the factors of 321 and 330 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 330
Prime factors of 330 are 2, 3, 5, 11. Prime factorization of 330 in exponential form is:
330 = 21 × 31 × 51 × 111
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 330
List of positive integer factors of 330 that divides 321 without a remainder.
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 321 and 330. The biggest common factor number is the GCF number.
So the greatest common factor 321 and 330 is 3.
Also check out the Least Common Multiple of 321 and 330
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 330
- GCF of 330 and 334
- GCF of 330 and 335
- GCF of 330 and 336
- GCF of 330 and 337
- GCF of 330 and 338
- GCF of 330 and 339
- GCF of 330 and 340
- GCF of 330 and 341
- GCF of 330 and 342
- GCF of 330 and 343
- GCF of 330 and 344
- GCF of 330 and 345
- GCF of 330 and 346
- GCF of 330 and 347
- GCF of 330 and 348
- GCF of 330 and 349
- GCF of 330 and 350