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 7512, 7513 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7512 and 7513 is 1.
GCF(7512,7513) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7512
2 | 7512 |
2 | 3756 |
2 | 1878 |
3 | 939 |
313 | 313 |
1 |
Prime factors of 7512 are 2,3,313. Prime factorization of 7512 in exponential form is:
7512 = 23×31×3131
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
∴ So by taking common prime factors GCF of 7512 and 7513 is 1
Factors of 7512
List of positive integer factors of 7512 that divides 7512 without a remainder.
1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Factors of 7513
List of positive integer factors of 7513 that divides 7513 without a remainder.
1,11,683,7513
Greatest Common Factor
We found the factors and prime factorization of 7512 and 7513. The biggest common factor number is the GCF number.
So the greatest common factor 7512 and 7513 is 1.
Also check out the Least Common Multiple of 7512 and 7513
(i) The GCF of 7512 and 7513 is associative
GCF of 7512 and 7513 = GCF of 7513 and 7512
1. What is the GCF of 7512 and 7513?
Answer: GCF of 7512 and 7513 is 1.
2. What are the Factors of 7512?
Answer: Factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512. There are 16 integers that are factors of 7512. The greatest factor of 7512 is 7512.
3. 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.
4. How to Find the GCF of 7512 and 7513?
Answer:
Greatest Common Factor of 7512 and 7513 = 1
Step 1: Find the prime factorization of 7512
7512 = 2 x 2 x 2 x 3 x 313
Step 2: Find the prime factorization of 7513
7513 = 11 x 683
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 7512 and 7513 is 1