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 4398, 4405 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4398 and 4405 is 1.
GCF(4398,4405) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4398
2 | 4398 |
3 | 2199 |
733 | 733 |
1 |
Prime factors of 4398 are 2,3,733. Prime factorization of 4398 in exponential form is:
4398 = 21×31×7331
Prime Factorization of 4405
5 | 4405 |
881 | 881 |
1 |
Prime factors of 4405 are 5,881. Prime factorization of 4405 in exponential form is:
4405 = 51×8811
∴ So by taking common prime factors GCF of 4398 and 4405 is 1
Factors of 4398
List of positive integer factors of 4398 that divides 4398 without a remainder.
1,2,3,6,733,1466,2199,4398
Factors of 4405
List of positive integer factors of 4405 that divides 4405 without a remainder.
1,5,881,4405
Greatest Common Factor
We found the factors and prime factorization of 4398 and 4405. The biggest common factor number is the GCF number.
So the greatest common factor 4398 and 4405 is 1.
Also check out the Least Common Multiple of 4398 and 4405
(i) The GCF of 4398 and 4405 is associative
GCF of 4398 and 4405 = GCF of 4405 and 4398
1. What is the GCF of 4398 and 4405?
Answer: GCF of 4398 and 4405 is 1.
2. What are the Factors of 4398?
Answer: Factors of 4398 are 1, 2, 3, 6, 733, 1466, 2199, 4398. There are 8 integers that are factors of 4398. The greatest factor of 4398 is 4398.
3. What are the Factors of 4405?
Answer: Factors of 4405 are 1, 5, 881, 4405. There are 4 integers that are factors of 4405. The greatest factor of 4405 is 4405.
4. How to Find the GCF of 4398 and 4405?
Answer:
Greatest Common Factor of 4398 and 4405 = 1
Step 1: Find the prime factorization of 4398
4398 = 2 x 3 x 733
Step 2: Find the prime factorization of 4405
4405 = 5 x 881
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 4398 and 4405 is 1