What is the Greatest Common Factor of 399 and 406?
Greatest common factor (GCF) of 399 and 406 is 7.
GCF(399,406) = 7
We will now calculate the prime factors of 399 and 406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 399 and 406.
How to find the GCF of 399 and 406?
We will first find the prime factorization of 399 and 406. After we will calculate the factors of 399 and 406 and find the biggest common factor number .
Step-1: Prime Factorization of 399
Prime factors of 399 are 3, 7, 19. Prime factorization of 399 in exponential form is:
399 = 31 × 71 × 191
Step-2: Prime Factorization of 406
Prime factors of 406 are 2, 7, 29. Prime factorization of 406 in exponential form is:
406 = 21 × 71 × 291
Step-3: Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133
Step-4: Factors of 406
List of positive integer factors of 406 that divides 399 without a remainder.
1, 2, 7, 14, 29, 58, 203
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 399 and 406. The biggest common factor number is the GCF number.
So the greatest common factor 399 and 406 is 7.
Also check out the Least Common Multiple of 399 and 406
Related Greatest Common Factors of 399
- GCF of 399 and 403
- GCF of 399 and 404
- GCF of 399 and 405
- GCF of 399 and 406
- GCF of 399 and 407
- GCF of 399 and 408
- GCF of 399 and 409
- GCF of 399 and 410
- GCF of 399 and 411
- GCF of 399 and 412
- GCF of 399 and 413
- GCF of 399 and 414
- GCF of 399 and 415
- GCF of 399 and 416
- GCF of 399 and 417
- GCF of 399 and 418
- GCF of 399 and 419
Related Greatest Common Factors of 406
- GCF of 406 and 410
- GCF of 406 and 411
- GCF of 406 and 412
- GCF of 406 and 413
- GCF of 406 and 414
- GCF of 406 and 415
- GCF of 406 and 416
- GCF of 406 and 417
- GCF of 406 and 418
- GCF of 406 and 419
- GCF of 406 and 420
- GCF of 406 and 421
- GCF of 406 and 422
- GCF of 406 and 423
- GCF of 406 and 424
- GCF of 406 and 425
- GCF of 406 and 426