What is the Greatest Common Factor of 395 and 400?
Greatest common factor (GCF) of 395 and 400 is 5.
GCF(395,400) = 5
We will now calculate the prime factors of 395 and 400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 395 and 400.
How to find the GCF of 395 and 400?
We will first find the prime factorization of 395 and 400. After we will calculate the factors of 395 and 400 and find the biggest common factor number .
Step-1: Prime Factorization of 395
Prime factors of 395 are 5, 79. Prime factorization of 395 in exponential form is:
395 = 51 × 791
Step-2: Prime Factorization of 400
Prime factors of 400 are 2, 5. Prime factorization of 400 in exponential form is:
400 = 24 × 52
Step-3: Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1, 5, 79
Step-4: Factors of 400
List of positive integer factors of 400 that divides 395 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 395 and 400. The biggest common factor number is the GCF number.
So the greatest common factor 395 and 400 is 5.
Also check out the Least Common Multiple of 395 and 400
Related Greatest Common Factors of 395
- GCF of 395 and 399
- GCF of 395 and 400
- GCF of 395 and 401
- GCF of 395 and 402
- GCF of 395 and 403
- GCF of 395 and 404
- GCF of 395 and 405
- GCF of 395 and 406
- GCF of 395 and 407
- GCF of 395 and 408
- GCF of 395 and 409
- GCF of 395 and 410
- GCF of 395 and 411
- GCF of 395 and 412
- GCF of 395 and 413
- GCF of 395 and 414
- GCF of 395 and 415
Related Greatest Common Factors of 400
- GCF of 400 and 404
- GCF of 400 and 405
- GCF of 400 and 406
- GCF of 400 and 407
- GCF of 400 and 408
- GCF of 400 and 409
- GCF of 400 and 410
- GCF of 400 and 411
- GCF of 400 and 412
- GCF of 400 and 413
- GCF of 400 and 414
- GCF of 400 and 415
- GCF of 400 and 416
- GCF of 400 and 417
- GCF of 400 and 418
- GCF of 400 and 419
- GCF of 400 and 420