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, 400 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 398 and 400 is 2.
GCF(398,400) = 2
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 400
2 | 400 |
2 | 200 |
2 | 100 |
2 | 50 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 400 are 2,5. Prime factorization of 400 in exponential form is:
400 = 24×52
∴ So by taking common prime factors GCF of 398 and 400 is 2
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors and prime factorization of 398 and 400. The biggest common factor number is the GCF number.
So the greatest common factor 398 and 400 is 2.
Also check out the Least Common Multiple of 398 and 400
(i) The GCF of 398 and 400 is associative
GCF of 398 and 400 = GCF of 400 and 398
1. What is the GCF of 398 and 400?
Answer: GCF of 398 and 400 is 2.
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 400?
Answer: Factors of 400 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400. There are 15 integers that are factors of 400. The greatest factor of 400 is 400.
4. How to Find the GCF of 398 and 400?
Answer:
Greatest Common Factor of 398 and 400 = 2
Step 1: Find the prime factorization of 398
398 = 2 x 199
Step 2: Find the prime factorization of 400
400 = 2 x 2 x 2 x 2 x 5 x 5
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 398 and 400 is 2