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 4378, 4381 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4378 and 4381 is 1.
GCF(4378,4381) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4378
2 | 4378 |
11 | 2189 |
199 | 199 |
1 |
Prime factors of 4378 are 2,11,199. Prime factorization of 4378 in exponential form is:
4378 = 21×111×1991
Prime Factorization of 4381
13 | 4381 |
337 | 337 |
1 |
Prime factors of 4381 are 13,337. Prime factorization of 4381 in exponential form is:
4381 = 131×3371
∴ So by taking common prime factors GCF of 4378 and 4381 is 1
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1,2,11,22,199,398,2189,4378
Factors of 4381
List of positive integer factors of 4381 that divides 4381 without a remainder.
1,13,337,4381
Greatest Common Factor
We found the factors and prime factorization of 4378 and 4381. The biggest common factor number is the GCF number.
So the greatest common factor 4378 and 4381 is 1.
Also check out the Least Common Multiple of 4378 and 4381
(i) The GCF of 4378 and 4381 is associative
GCF of 4378 and 4381 = GCF of 4381 and 4378
1. What is the GCF of 4378 and 4381?
Answer: GCF of 4378 and 4381 is 1.
2. What are the Factors of 4378?
Answer: Factors of 4378 are 1, 2, 11, 22, 199, 398, 2189, 4378. There are 8 integers that are factors of 4378. The greatest factor of 4378 is 4378.
3. What are the Factors of 4381?
Answer: Factors of 4381 are 1, 13, 337, 4381. There are 4 integers that are factors of 4381. The greatest factor of 4381 is 4381.
4. How to Find the GCF of 4378 and 4381?
Answer:
Greatest Common Factor of 4378 and 4381 = 1
Step 1: Find the prime factorization of 4378
4378 = 2 x 11 x 199
Step 2: Find the prime factorization of 4381
4381 = 13 x 337
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 4378 and 4381 is 1