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 7430, 7438 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7430 and 7438 is 2.
GCF(7430,7438) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7430
2 | 7430 |
5 | 3715 |
743 | 743 |
1 |
Prime factors of 7430 are 2,5,743. Prime factorization of 7430 in exponential form is:
7430 = 21×51×7431
Prime Factorization of 7438
2 | 7438 |
3719 | 3719 |
1 |
Prime factors of 7438 are 2,3719. Prime factorization of 7438 in exponential form is:
7438 = 21×37191
∴ So by taking common prime factors GCF of 7430 and 7438 is 2
Factors of 7430
List of positive integer factors of 7430 that divides 7430 without a remainder.
1,2,5,10,743,1486,3715,7430
Factors of 7438
List of positive integer factors of 7438 that divides 7438 without a remainder.
1,2,3719,7438
Greatest Common Factor
We found the factors and prime factorization of 7430 and 7438. The biggest common factor number is the GCF number.
So the greatest common factor 7430 and 7438 is 2.
Also check out the Least Common Multiple of 7430 and 7438
(i) The GCF of 7430 and 7438 is associative
GCF of 7430 and 7438 = GCF of 7438 and 7430
1. What is the GCF of 7430 and 7438?
Answer: GCF of 7430 and 7438 is 2.
2. What are the Factors of 7430?
Answer: Factors of 7430 are 1, 2, 5, 10, 743, 1486, 3715, 7430. There are 8 integers that are factors of 7430. The greatest factor of 7430 is 7430.
3. What are the Factors of 7438?
Answer: Factors of 7438 are 1, 2, 3719, 7438. There are 4 integers that are factors of 7438. The greatest factor of 7438 is 7438.
4. How to Find the GCF of 7430 and 7438?
Answer:
Greatest Common Factor of 7430 and 7438 = 2
Step 1: Find the prime factorization of 7430
7430 = 2 x 5 x 743
Step 2: Find the prime factorization of 7438
7438 = 2 x 3719
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 7430 and 7438 is 2