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 7516, 7521 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7516 and 7521 is 1.
GCF(7516,7521) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 7521
3 | 7521 |
23 | 2507 |
109 | 109 |
1 |
Prime factors of 7521 are 3,23,109. Prime factorization of 7521 in exponential form is:
7521 = 31×231×1091
∴ So by taking common prime factors GCF of 7516 and 7521 is 1
Factors of 7516
List of positive integer factors of 7516 that divides 7516 without a remainder.
1,2,4,1879,3758,7516
Factors of 7521
List of positive integer factors of 7521 that divides 7521 without a remainder.
1,3,23,69,109,327,2507,7521
Greatest Common Factor
We found the factors and prime factorization of 7516 and 7521. The biggest common factor number is the GCF number.
So the greatest common factor 7516 and 7521 is 1.
Also check out the Least Common Multiple of 7516 and 7521
(i) The GCF of 7516 and 7521 is associative
GCF of 7516 and 7521 = GCF of 7521 and 7516
1. What is the GCF of 7516 and 7521?
Answer: GCF of 7516 and 7521 is 1.
2. 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.
3. What are the Factors of 7521?
Answer: Factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521. There are 8 integers that are factors of 7521. The greatest factor of 7521 is 7521.
4. How to Find the GCF of 7516 and 7521?
Answer:
Greatest Common Factor of 7516 and 7521 = 1
Step 1: Find the prime factorization of 7516
7516 = 2 x 2 x 1879
Step 2: Find the prime factorization of 7521
7521 = 3 x 23 x 109
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 7516 and 7521 is 1