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 7384, 7390 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7384 and 7390 is 2.
GCF(7384,7390) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7390
2 | 7390 |
5 | 3695 |
739 | 739 |
1 |
Prime factors of 7390 are 2,5,739. Prime factorization of 7390 in exponential form is:
7390 = 21×51×7391
∴ So by taking common prime factors GCF of 7384 and 7390 is 2
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
Factors of 7390
List of positive integer factors of 7390 that divides 7390 without a remainder.
1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors and prime factorization of 7384 and 7390. The biggest common factor number is the GCF number.
So the greatest common factor 7384 and 7390 is 2.
Also check out the Least Common Multiple of 7384 and 7390
(i) The GCF of 7384 and 7390 is associative
GCF of 7384 and 7390 = GCF of 7390 and 7384
1. What is the GCF of 7384 and 7390?
Answer: GCF of 7384 and 7390 is 2.
2. 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.
3. What are the Factors of 7390?
Answer: Factors of 7390 are 1, 2, 5, 10, 739, 1478, 3695, 7390. There are 8 integers that are factors of 7390. The greatest factor of 7390 is 7390.
4. How to Find the GCF of 7384 and 7390?
Answer:
Greatest Common Factor of 7384 and 7390 = 2
Step 1: Find the prime factorization of 7384
7384 = 2 x 2 x 2 x 13 x 71
Step 2: Find the prime factorization of 7390
7390 = 2 x 5 x 739
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 7384 and 7390 is 2