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 1500, 1505 i.e. 5 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1500 and 1505 is 5.
GCF(1500,1505) = 5
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1500
2 | 1500 |
2 | 750 |
3 | 375 |
5 | 125 |
5 | 25 |
5 | 5 |
1 |
Prime factors of 1500 are 2,3,5. Prime factorization of 1500 in exponential form is:
1500 = 22×31×53
Prime Factorization of 1505
5 | 1505 |
7 | 301 |
43 | 43 |
1 |
Prime factors of 1505 are 5,7,43. Prime factorization of 1505 in exponential form is:
1505 = 51×71×431
∴ So by taking common prime factors GCF of 1500 and 1505 is 5
Factors of 1500
List of positive integer factors of 1500 that divides 1500 without a remainder.
1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Factors of 1505
List of positive integer factors of 1505 that divides 1505 without a remainder.
1,5,7,35,43,215,301,1505
Greatest Common Factor
We found the factors and prime factorization of 1500 and 1505. The biggest common factor number is the GCF number.
So the greatest common factor 1500 and 1505 is 5.
Also check out the Least Common Multiple of 1500 and 1505
(i) The GCF of 1500 and 1505 is associative
GCF of 1500 and 1505 = GCF of 1505 and 1500
1. What is the GCF of 1500 and 1505?
Answer: GCF of 1500 and 1505 is 5.
2. What are the Factors of 1500?
Answer: Factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500. There are 24 integers that are factors of 1500. The greatest factor of 1500 is 1500.
3. What are the Factors of 1505?
Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.
4. How to Find the GCF of 1500 and 1505?
Answer:
Greatest Common Factor of 1500 and 1505 = 5
Step 1: Find the prime factorization of 1500
1500 = 2 x 2 x 3 x 5 x 5 x 5
Step 2: Find the prime factorization of 1505
1505 = 5 x 7 x 43
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 1500 and 1505 is 5