What is the Greatest Common Factor of 335 and 343?
Greatest common factor (GCF) of 335 and 343 is 1.
GCF(335,343) = 1
We will now calculate the prime factors of 335 and 343, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 335 and 343.
How to find the GCF of 335 and 343?
We will first find the prime factorization of 335 and 343. After we will calculate the factors of 335 and 343 and find the biggest common factor number .
Step-1: Prime Factorization of 335
Prime factors of 335 are 5, 67. Prime factorization of 335 in exponential form is:
335 = 51 × 671
Step-2: Prime Factorization of 343
Prime factors of 343 are 7. Prime factorization of 343 in exponential form is:
343 = 73
Step-3: Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1, 5, 67
Step-4: Factors of 343
List of positive integer factors of 343 that divides 335 without a remainder.
1, 7, 49
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 335 and 343. The biggest common factor number is the GCF number.
So the greatest common factor 335 and 343 is 1.
Also check out the Least Common Multiple of 335 and 343
Related Greatest Common Factors of 335
- GCF of 335 and 339
- GCF of 335 and 340
- GCF of 335 and 341
- GCF of 335 and 342
- GCF of 335 and 343
- GCF of 335 and 344
- GCF of 335 and 345
- GCF of 335 and 346
- GCF of 335 and 347
- GCF of 335 and 348
- GCF of 335 and 349
- GCF of 335 and 350
- GCF of 335 and 351
- GCF of 335 and 352
- GCF of 335 and 353
- GCF of 335 and 354
- GCF of 335 and 355
Related Greatest Common Factors of 343
- GCF of 343 and 347
- GCF of 343 and 348
- GCF of 343 and 349
- GCF of 343 and 350
- GCF of 343 and 351
- GCF of 343 and 352
- GCF of 343 and 353
- GCF of 343 and 354
- GCF of 343 and 355
- GCF of 343 and 356
- GCF of 343 and 357
- GCF of 343 and 358
- GCF of 343 and 359
- GCF of 343 and 360
- GCF of 343 and 361
- GCF of 343 and 362
- GCF of 343 and 363