What is the Greatest Common Factor of 315 and 324?
Greatest common factor (GCF) of 315 and 324 is 9.
GCF(315,324) = 9
We will now calculate the prime factors of 315 and 324, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 315 and 324.
How to find the GCF of 315 and 324?
We will first find the prime factorization of 315 and 324. After we will calculate the factors of 315 and 324 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 324
Prime factors of 324 are 2, 3. Prime factorization of 324 in exponential form is:
324 = 22 × 34
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 324
List of positive integer factors of 324 that divides 315 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 315 and 324. The biggest common factor number is the GCF number.
So the greatest common factor 315 and 324 is 9.
Also check out the Least Common Multiple of 315 and 324
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 324
- GCF of 324 and 328
- GCF of 324 and 329
- GCF of 324 and 330
- GCF of 324 and 331
- GCF of 324 and 332
- GCF of 324 and 333
- GCF of 324 and 334
- GCF of 324 and 335
- GCF of 324 and 336
- GCF of 324 and 337
- GCF of 324 and 338
- GCF of 324 and 339
- GCF of 324 and 340
- GCF of 324 and 341
- GCF of 324 and 342
- GCF of 324 and 343
- GCF of 324 and 344