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 7500, 7505 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7500 and 7505 is 5.
GCF(7500,7505) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 7500
2 | 7500 |
2 | 3750 |
3 | 1875 |
5 | 625 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 7500 are 2,3,5. Prime factorization of 7500 in exponential form is:
7500 = 22×31×54
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
∴ So by taking common prime factors GCF of 7500 and 7505 is 5
Factors of 7500
List of positive integer factors of 7500 that divides 7500 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,625,750,1250,1500,1875,2500,3750,7500
Factors of 7505
List of positive integer factors of 7505 that divides 7505 without a remainder.
1,5,19,79,95,395,1501,7505
Greatest Common Factor
We found the factors and prime factorization of 7500 and 7505. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7505 is 5.
Also check out the Least Common Multiple of 7500 and 7505
(i) The GCF of 7500 and 7505 is associative
GCF of 7500 and 7505 = GCF of 7505 and 7500
1. What is the GCF of 7500 and 7505?
Answer: GCF of 7500 and 7505 is 5.
2. What are the Factors of 7500?
Answer: Factors of 7500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 625, 750, 1250, 1500, 1875, 2500, 3750, 7500. There are 30 integers that are factors of 7500. The greatest factor of 7500 is 7500.
3. 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.
4. How to Find the GCF of 7500 and 7505?
Answer:
Greatest Common Factor of 7500 and 7505 = 5
Step 1: Find the prime factorization of 7500
7500 = 2 x 2 x 3 x 5 x 5 x 5 x 5
Step 2: Find the prime factorization of 7505
7505 = 5 x 19 x 79
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 5
Step 4: Therefore, the greatest common factor of 7500 and 7505 is 5