What is the Greatest Common Factor of 357 and 366?
Greatest common factor (GCF) of 357 and 366 is 3.
GCF(357,366) = 3
We will now calculate the prime factors of 357 and 366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 357 and 366.
How to find the GCF of 357 and 366?
We will first find the prime factorization of 357 and 366. After we will calculate the factors of 357 and 366 and find the biggest common factor number .
Step-1: Prime Factorization of 357
Prime factors of 357 are 3, 7, 17. Prime factorization of 357 in exponential form is:
357 = 31 × 71 × 171
Step-2: 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-3: Factors of 357
List of positive integer factors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119
Step-4: Factors of 366
List of positive integer factors of 366 that divides 357 without a remainder.
1, 2, 3, 6, 61, 122, 183
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 357 and 366. The biggest common factor number is the GCF number.
So the greatest common factor 357 and 366 is 3.
Also check out the Least Common Multiple of 357 and 366
Related Greatest Common Factors of 357
- GCF of 357 and 361
- GCF of 357 and 362
- GCF of 357 and 363
- GCF of 357 and 364
- GCF of 357 and 365
- GCF of 357 and 366
- GCF of 357 and 367
- GCF of 357 and 368
- GCF of 357 and 369
- GCF of 357 and 370
- GCF of 357 and 371
- GCF of 357 and 372
- GCF of 357 and 373
- GCF of 357 and 374
- GCF of 357 and 375
- GCF of 357 and 376
- GCF of 357 and 377
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