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 4374, 4379 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 4374 and 4379 is 1.
GCF(4374,4379) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 4374
2 | 4374 |
3 | 2187 |
3 | 729 |
3 | 243 |
3 | 81 |
3 | 27 |
3 | 9 |
3 | 3 |
1 |
Prime factors of 4374 are 2,3. Prime factorization of 4374 in exponential form is:
4374 = 21×37
Prime Factorization of 4379
29 | 4379 |
151 | 151 |
1 |
Prime factors of 4379 are 29,151. Prime factorization of 4379 in exponential form is:
4379 = 291×1511
∴ So by taking common prime factors GCF of 4374 and 4379 is 1
Factors of 4374
List of positive integer factors of 4374 that divides 4374 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Factors of 4379
List of positive integer factors of 4379 that divides 4379 without a remainder.
1,29,151,4379
Greatest Common Factor
We found the factors and prime factorization of 4374 and 4379. The biggest common factor number is the GCF number.
So the greatest common factor 4374 and 4379 is 1.
Also check out the Least Common Multiple of 4374 and 4379
(i) The GCF of 4374 and 4379 is associative
GCF of 4374 and 4379 = GCF of 4379 and 4374
1. What is the GCF of 4374 and 4379?
Answer: GCF of 4374 and 4379 is 1.
2. What are the Factors of 4374?
Answer: Factors of 4374 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. There are 16 integers that are factors of 4374. The greatest factor of 4374 is 4374.
3. What are the Factors of 4379?
Answer: Factors of 4379 are 1, 29, 151, 4379. There are 4 integers that are factors of 4379. The greatest factor of 4379 is 4379.
4. How to Find the GCF of 4374 and 4379?
Answer:
Greatest Common Factor of 4374 and 4379 = 1
Step 1: Find the prime factorization of 4374
4374 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 3
Step 2: Find the prime factorization of 4379
4379 = 29 x 151
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 4374 and 4379 is 1