What is the Greatest Common Factor of 398 and 403?
Greatest common factor (GCF) of 398 and 403 is 1.
GCF(398,403) = 1
We will now calculate the prime factors of 398 and 403, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 398 and 403.
How to find the GCF of 398 and 403?
We will first find the prime factorization of 398 and 403. After we will calculate the factors of 398 and 403 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 403
Prime factors of 403 are 13, 31. Prime factorization of 403 in exponential form is:
403 = 131 × 311
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 403
List of positive integer factors of 403 that divides 398 without a remainder.
1, 13, 31
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 398 and 403. The biggest common factor number is the GCF number.
So the greatest common factor 398 and 403 is 1.
Also check out the Least Common Multiple of 398 and 403
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