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 7505, 7512 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7505 and 7512 is 1.
GCF(7505,7512) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7505
5 | 7505 |
19 | 1501 |
79 | 79 |
1 |
Prime factors of 7505 are 5,19,79. Prime factorization of 7505 in exponential form is:
7505 = 51×191×791
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
∴ So by taking common prime factors GCF of 7505 and 7512 is 1
Factors of 7505
List of positive integer factors of 7505 that divides 7505 without a remainder.
1,5,19,79,95,395,1501,7505
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
Greatest Common Factor
We found the factors and prime factorization of 7505 and 7512. The biggest common factor number is the GCF number.
So the greatest common factor 7505 and 7512 is 1.
Also check out the Least Common Multiple of 7505 and 7512
(i) The GCF of 7505 and 7512 is associative
GCF of 7505 and 7512 = GCF of 7512 and 7505
1. What is the GCF of 7505 and 7512?
Answer: GCF of 7505 and 7512 is 1.
2. What are the Factors of 7505?
Answer: Factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505. There are 8 integers that are factors of 7505. The greatest factor of 7505 is 7505.
3. 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.
4. How to Find the GCF of 7505 and 7512?
Answer:
Greatest Common Factor of 7505 and 7512 = 1
Step 1: Find the prime factorization of 7505
7505 = 5 x 19 x 79
Step 2: Find the prime factorization of 7512
7512 = 2 x 2 x 2 x 3 x 313
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 7505 and 7512 is 1