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, 7519 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7513 and 7519 is 1.
GCF(7513,7519) = 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 7519
73 | 7519 |
103 | 103 |
1 |
Prime factors of 7519 are 73,103. Prime factorization of 7519 in exponential form is:
7519 = 731×1031
∴ So by taking common prime factors GCF of 7513 and 7519 is 1
Factors of 7513
List of positive integer factors of 7513 that divides 7513 without a remainder.
1,11,683,7513
Factors of 7519
List of positive integer factors of 7519 that divides 7519 without a remainder.
1,73,103,7519
Greatest Common Factor
We found the factors and prime factorization of 7513 and 7519. The biggest common factor number is the GCF number.
So the greatest common factor 7513 and 7519 is 1.
Also check out the Least Common Multiple of 7513 and 7519
(i) The GCF of 7513 and 7519 is associative
GCF of 7513 and 7519 = GCF of 7519 and 7513
1. What is the GCF of 7513 and 7519?
Answer: GCF of 7513 and 7519 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 7519?
Answer: Factors of 7519 are 1, 73, 103, 7519. There are 4 integers that are factors of 7519. The greatest factor of 7519 is 7519.
4. How to Find the GCF of 7513 and 7519?
Answer:
Greatest Common Factor of 7513 and 7519 = 1
Step 1: Find the prime factorization of 7513
7513 = 11 x 683
Step 2: Find the prime factorization of 7519
7519 = 73 x 103
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 7519 is 1