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 4371, 4378 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4371 and 4378 is 1.
GCF(4371,4378) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4371
3 | 4371 |
31 | 1457 |
47 | 47 |
1 |
Prime factors of 4371 are 3,31,47. Prime factorization of 4371 in exponential form is:
4371 = 31×311×471
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
∴ So by taking common prime factors GCF of 4371 and 4378 is 1
Factors of 4371
List of positive integer factors of 4371 that divides 4371 without a remainder.
1,3,31,47,93,141,1457,4371
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1,2,11,22,199,398,2189,4378
Greatest Common Factor
We found the factors and prime factorization of 4371 and 4378. The biggest common factor number is the GCF number.
So the greatest common factor 4371 and 4378 is 1.
Also check out the Least Common Multiple of 4371 and 4378
(i) The GCF of 4371 and 4378 is associative
GCF of 4371 and 4378 = GCF of 4378 and 4371
1. What is the GCF of 4371 and 4378?
Answer: GCF of 4371 and 4378 is 1.
2. What are the Factors of 4371?
Answer: Factors of 4371 are 1, 3, 31, 47, 93, 141, 1457, 4371. There are 8 integers that are factors of 4371. The greatest factor of 4371 is 4371.
3. 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.
4. How to Find the GCF of 4371 and 4378?
Answer:
Greatest Common Factor of 4371 and 4378 = 1
Step 1: Find the prime factorization of 4371
4371 = 3 x 31 x 47
Step 2: Find the prime factorization of 4378
4378 = 2 x 11 x 199
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 4371 and 4378 is 1