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 7379, 7384 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7379 and 7384 is 1.
GCF(7379,7384) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7379
47 | 7379 |
157 | 157 |
1 |
Prime factors of 7379 are 47,157. Prime factorization of 7379 in exponential form is:
7379 = 471×1571
Prime Factorization of 7384
2 | 7384 |
2 | 3692 |
2 | 1846 |
13 | 923 |
71 | 71 |
1 |
Prime factors of 7384 are 2,13,71. Prime factorization of 7384 in exponential form is:
7384 = 23×131×711
∴ So by taking common prime factors GCF of 7379 and 7384 is 1
Factors of 7379
List of positive integer factors of 7379 that divides 7379 without a remainder.
1,47,157,7379
Factors of 7384
List of positive integer factors of 7384 that divides 7384 without a remainder.
1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384
Greatest Common Factor
We found the factors and prime factorization of 7379 and 7384. The biggest common factor number is the GCF number.
So the greatest common factor 7379 and 7384 is 1.
Also check out the Least Common Multiple of 7379 and 7384
(i) The GCF of 7379 and 7384 is associative
GCF of 7379 and 7384 = GCF of 7384 and 7379
1. What is the GCF of 7379 and 7384?
Answer: GCF of 7379 and 7384 is 1.
2. What are the Factors of 7379?
Answer: Factors of 7379 are 1, 47, 157, 7379. There are 4 integers that are factors of 7379. The greatest factor of 7379 is 7379.
3. What are the Factors of 7384?
Answer: Factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384. There are 16 integers that are factors of 7384. The greatest factor of 7384 is 7384.
4. How to Find the GCF of 7379 and 7384?
Answer:
Greatest Common Factor of 7379 and 7384 = 1
Step 1: Find the prime factorization of 7379
7379 = 47 x 157
Step 2: Find the prime factorization of 7384
7384 = 2 x 2 x 2 x 13 x 71
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 7379 and 7384 is 1