What is the Greatest Common Factor of 385 and 405?
Greatest common factor (GCF) of 385 and 405 is 5.
GCF(385,405) = 5
We will now calculate the prime factors of 385 and 405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 385 and 405.
How to find the GCF of 385 and 405?
We will first find the prime factorization of 385 and 405. After we will calculate the factors of 385 and 405 and find the biggest common factor number .
Step-1: Prime Factorization of 385
Prime factors of 385 are 5, 7, 11. Prime factorization of 385 in exponential form is:
385 = 51 × 71 × 111
Step-2: Prime Factorization of 405
Prime factors of 405 are 3, 5. Prime factorization of 405 in exponential form is:
405 = 34 × 51
Step-3: Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1, 5, 7, 11, 35, 55, 77
Step-4: Factors of 405
List of positive integer factors of 405 that divides 385 without a remainder.
1, 3, 5, 9, 15, 27, 45, 81, 135
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 385 and 405. The biggest common factor number is the GCF number.
So the greatest common factor 385 and 405 is 5.
Also check out the Least Common Multiple of 385 and 405
Related Greatest Common Factors of 385
- GCF of 385 and 389
- GCF of 385 and 390
- GCF of 385 and 391
- GCF of 385 and 392
- GCF of 385 and 393
- GCF of 385 and 394
- GCF of 385 and 395
- GCF of 385 and 396
- GCF of 385 and 397
- GCF of 385 and 398
- GCF of 385 and 399
- GCF of 385 and 400
- GCF of 385 and 401
- GCF of 385 and 402
- GCF of 385 and 403
- GCF of 385 and 404
- GCF of 385 and 405
Related Greatest Common Factors of 405
- GCF of 405 and 409
- GCF of 405 and 410
- GCF of 405 and 411
- GCF of 405 and 412
- GCF of 405 and 413
- GCF of 405 and 414
- GCF of 405 and 415
- GCF of 405 and 416
- GCF of 405 and 417
- GCF of 405 and 418
- GCF of 405 and 419
- GCF of 405 and 420
- GCF of 405 and 421
- GCF of 405 and 422
- GCF of 405 and 423
- GCF of 405 and 424
- GCF of 405 and 425