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 7513, 7518 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7513 and 7518 is 1.
GCF(7513,7518) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7513
11 | 7513 |
683 | 683 |
1 |
Prime factors of 7513 are 11,683. Prime factorization of 7513 in exponential form is:
7513 = 111×6831
Prime Factorization of 7518
2 | 7518 |
3 | 3759 |
7 | 1253 |
179 | 179 |
1 |
Prime factors of 7518 are 2,3,7,179. Prime factorization of 7518 in exponential form is:
7518 = 21×31×71×1791
∴ So by taking common prime factors GCF of 7513 and 7518 is 1
Factors of 7513
List of positive integer factors of 7513 that divides 7513 without a remainder.
1,11,683,7513
Factors of 7518
List of positive integer factors of 7518 that divides 7518 without a remainder.
1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518
Greatest Common Factor
We found the factors and prime factorization of 7513 and 7518. The biggest common factor number is the GCF number.
So the greatest common factor 7513 and 7518 is 1.
Also check out the Least Common Multiple of 7513 and 7518
(i) The GCF of 7513 and 7518 is associative
GCF of 7513 and 7518 = GCF of 7518 and 7513
1. What is the GCF of 7513 and 7518?
Answer: GCF of 7513 and 7518 is 1.
2. What are the Factors of 7513?
Answer: Factors of 7513 are 1, 11, 683, 7513. There are 4 integers that are factors of 7513. The greatest factor of 7513 is 7513.
3. What are the Factors of 7518?
Answer: Factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518. There are 16 integers that are factors of 7518. The greatest factor of 7518 is 7518.
4. How to Find the GCF of 7513 and 7518?
Answer:
Greatest Common Factor of 7513 and 7518 = 1
Step 1: Find the prime factorization of 7513
7513 = 11 x 683
Step 2: Find the prime factorization of 7518
7518 = 2 x 3 x 7 x 179
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 7513 and 7518 is 1