Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 398, 403 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 398 and 403 is 1.
GCF(398,403) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 398
2 | 398 |
199 | 199 |
1 |
Prime factors of 398 are 2,199. Prime factorization of 398 in exponential form is:
398 = 21×1991
Prime Factorization of 403
13 | 403 |
31 | 31 |
1 |
Prime factors of 403 are 13,31. Prime factorization of 403 in exponential form is:
403 = 131×311
∴ So by taking common prime factors GCF of 398 and 403 is 1
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
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
(i) The GCF of 398 and 403 is associative
GCF of 398 and 403 = GCF of 403 and 398
1. What is the GCF of 398 and 403?
Answer: GCF of 398 and 403 is 1.
2. What are the Factors of 398?
Answer: Factors of 398 are 1, 2, 199, 398. There are 4 integers that are factors of 398. The greatest factor of 398 is 398.
3. What are the Factors of 403?
Answer: Factors of 403 are 1, 13, 31, 403. There are 4 integers that are factors of 403. The greatest factor of 403 is 403.
4. How to Find the GCF of 398 and 403?
Answer:
Greatest Common Factor of 398 and 403 = 1
Step 1: Find the prime factorization of 398
398 = 2 x 199
Step 2: Find the prime factorization of 403
403 = 13 x 31
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 398 and 403 is 1