What is the Greatest Common Factor of 315 and 330?
Greatest common factor (GCF) of 315 and 330 is 15.
GCF(315,330) = 15
We will now calculate the prime factors of 315 and 330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 315 and 330.
How to find the GCF of 315 and 330?
We will first find the prime factorization of 315 and 330. After we will calculate the factors of 315 and 330 and find the biggest common factor number .
Step-1: Prime Factorization of 315
Prime factors of 315 are 3, 5, 7. Prime factorization of 315 in exponential form is:
315 = 32 × 51 × 71
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 315
List of positive integer factors of 315 that divides 315 without a remainder.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105
Step-4: Factors of 330
List of positive integer factors of 330 that divides 315 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 315 and 330. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 330 is 15.
Also check out the Least Common Multiple of 315 and 330
Related Greatest Common Factors of 315
- GCF of 315 and 319
- GCF of 315 and 320
- GCF of 315 and 321
- GCF of 315 and 322
- GCF of 315 and 323
- GCF of 315 and 324
- GCF of 315 and 325
- GCF of 315 and 326
- GCF of 315 and 327
- GCF of 315 and 328
- GCF of 315 and 329
- GCF of 315 and 330
- GCF of 315 and 331
- GCF of 315 and 332
- GCF of 315 and 333
- GCF of 315 and 334
- GCF of 315 and 335
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