What is the Greatest Common Factor of 366 and 384?
Greatest common factor (GCF) of 366 and 384 is 6.
GCF(366,384) = 6
We will now calculate the prime factors of 366 and 384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 366 and 384.
How to find the GCF of 366 and 384?
We will first find the prime factorization of 366 and 384. After we will calculate the factors of 366 and 384 and find the biggest common factor number .
Step-1: Prime Factorization of 366
Prime factors of 366 are 2, 3, 61. Prime factorization of 366 in exponential form is:
366 = 21 × 31 × 611
Step-2: Prime Factorization of 384
Prime factors of 384 are 2, 3. Prime factorization of 384 in exponential form is:
384 = 27 × 31
Step-3: Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1, 2, 3, 6, 61, 122, 183
Step-4: Factors of 384
List of positive integer factors of 384 that divides 366 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 366 and 384. The biggest common factor number is the GCF number.
So the greatest common factor 366 and 384 is 6.
Also check out the Least Common Multiple of 366 and 384
Related Greatest Common Factors of 366
- GCF of 366 and 370
- GCF of 366 and 371
- GCF of 366 and 372
- GCF of 366 and 373
- GCF of 366 and 374
- GCF of 366 and 375
- GCF of 366 and 376
- GCF of 366 and 377
- GCF of 366 and 378
- GCF of 366 and 379
- GCF of 366 and 380
- GCF of 366 and 381
- GCF of 366 and 382
- GCF of 366 and 383
- GCF of 366 and 384
- GCF of 366 and 385
- GCF of 366 and 386
Related Greatest Common Factors of 384
- GCF of 384 and 388
- GCF of 384 and 389
- GCF of 384 and 390
- GCF of 384 and 391
- GCF of 384 and 392
- GCF of 384 and 393
- GCF of 384 and 394
- GCF of 384 and 395
- GCF of 384 and 396
- GCF of 384 and 397
- GCF of 384 and 398
- GCF of 384 and 399
- GCF of 384 and 400
- GCF of 384 and 401
- GCF of 384 and 402
- GCF of 384 and 403
- GCF of 384 and 404