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 7508, 7516 i.e. 4 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7508 and 7516 is 4.
GCF(7508,7516) = 4
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7508
2 | 7508 |
2 | 3754 |
1877 | 1877 |
1 |
Prime factors of 7508 are 2,1877. Prime factorization of 7508 in exponential form is:
7508 = 22×18771
Prime Factorization of 7516
2 | 7516 |
2 | 3758 |
1879 | 1879 |
1 |
Prime factors of 7516 are 2,1879. Prime factorization of 7516 in exponential form is:
7516 = 22×18791
∴ So by taking common prime factors GCF of 7508 and 7516 is 4
Factors of 7508
List of positive integer factors of 7508 that divides 7508 without a remainder.
1,2,4,1877,3754,7508
Factors of 7516
List of positive integer factors of 7516 that divides 7516 without a remainder.
1,2,4,1879,3758,7516
Greatest Common Factor
We found the factors and prime factorization of 7508 and 7516. The biggest common factor number is the GCF number.
So the greatest common factor 7508 and 7516 is 4.
Also check out the Least Common Multiple of 7508 and 7516
(i) The GCF of 7508 and 7516 is associative
GCF of 7508 and 7516 = GCF of 7516 and 7508
1. What is the GCF of 7508 and 7516?
Answer: GCF of 7508 and 7516 is 4.
2. What are the Factors of 7508?
Answer: Factors of 7508 are 1, 2, 4, 1877, 3754, 7508. There are 6 integers that are factors of 7508. The greatest factor of 7508 is 7508.
3. What are the Factors of 7516?
Answer: Factors of 7516 are 1, 2, 4, 1879, 3758, 7516. There are 6 integers that are factors of 7516. The greatest factor of 7516 is 7516.
4. How to Find the GCF of 7508 and 7516?
Answer:
Greatest Common Factor of 7508 and 7516 = 4
Step 1: Find the prime factorization of 7508
7508 = 2 x 2 x 1877
Step 2: Find the prime factorization of 7516
7516 = 2 x 2 x 1879
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 = 4
Step 4: Therefore, the greatest common factor of 7508 and 7516 is 4