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, 7501 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 7500 and 7501 is 1.
GCF(7500,7501) = 1
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 7501
13 | 7501 |
577 | 577 |
1 |
Prime factors of 7501 are 13,577. Prime factorization of 7501 in exponential form is:
7501 = 131×5771
∴ So by taking common prime factors GCF of 7500 and 7501 is 1
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 7501
List of positive integer factors of 7501 that divides 7501 without a remainder.
1,13,577,7501
Greatest Common Factor
We found the factors and prime factorization of 7500 and 7501. The biggest common factor number is the GCF number.
So the greatest common factor 7500 and 7501 is 1.
Also check out the Least Common Multiple of 7500 and 7501
(i) The GCF of 7500 and 7501 is associative
GCF of 7500 and 7501 = GCF of 7501 and 7500
1. What is the GCF of 7500 and 7501?
Answer: GCF of 7500 and 7501 is 1.
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 7501?
Answer: Factors of 7501 are 1, 13, 577, 7501. There are 4 integers that are factors of 7501. The greatest factor of 7501 is 7501.
4. How to Find the GCF of 7500 and 7501?
Answer:
Greatest Common Factor of 7500 and 7501 = 1
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 7501
7501 = 13 x 577
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 7500 and 7501 is 1