What is the Greatest Common Factor of 398 and 405?
Greatest common factor (GCF) of 398 and 405 is 1.
GCF(398,405) = 1
We will now calculate the prime factors of 398 and 405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 398 and 405.
How to find the GCF of 398 and 405?
We will first find the prime factorization of 398 and 405. After we will calculate the factors of 398 and 405 and find the biggest common factor number .
Step-1: Prime Factorization of 398
Prime factors of 398 are 2, 199. Prime factorization of 398 in exponential form is:
398 = 21 × 1991
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 398
List of positive integer factors of 398 that divides 398 without a remainder.
1, 2, 199
Step-4: Factors of 405
List of positive integer factors of 405 that divides 398 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 398 and 405. The biggest common factor number is the GCF number.
So the greatest common factor 398 and 405 is 1.
Also check out the Least Common Multiple of 398 and 405
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