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, 7506 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7505 and 7506 is 1.
GCF(7505,7506) = 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 7506
2 | 7506 |
3 | 3753 |
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 7506 are 2,3,139. Prime factorization of 7506 in exponential form is:
7506 = 21×33×1391
∴ So by taking common prime factors GCF of 7505 and 7506 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 7506
List of positive integer factors of 7506 that divides 7506 without a remainder.
1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506
Greatest Common Factor
We found the factors and prime factorization of 7505 and 7506. The biggest common factor number is the GCF number.
So the greatest common factor 7505 and 7506 is 1.
Also check out the Least Common Multiple of 7505 and 7506
(i) The GCF of 7505 and 7506 is associative
GCF of 7505 and 7506 = GCF of 7506 and 7505
1. What is the GCF of 7505 and 7506?
Answer: GCF of 7505 and 7506 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 7506?
Answer: Factors of 7506 are 1, 2, 3, 6, 9, 18, 27, 54, 139, 278, 417, 834, 1251, 2502, 3753, 7506. There are 16 integers that are factors of 7506. The greatest factor of 7506 is 7506.
4. How to Find the GCF of 7505 and 7506?
Answer:
Greatest Common Factor of 7505 and 7506 = 1
Step 1: Find the prime factorization of 7505
7505 = 5 x 19 x 79
Step 2: Find the prime factorization of 7506
7506 = 2 x 3 x 3 x 3 x 139
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 7506 is 1