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 1505, 1506 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1505 and 1506 is 1.
GCF(1505,1506) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1506
2 | 1506 |
3 | 753 |
251 | 251 |
1 |
Prime factors of 1506 are 2,3,251. Prime factorization of 1506 in exponential form is:
1506 = 21×31×2511
∴ So by taking common prime factors GCF of 1505 and 1506 is 1
Factors of 1505
List of positive integer factors of 1505 that divides 1505 without a remainder.
1,5,7,35,43,215,301,1505
Factors of 1506
List of positive integer factors of 1506 that divides 1506 without a remainder.
1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors and prime factorization of 1505 and 1506. The biggest common factor number is the GCF number.
So the greatest common factor 1505 and 1506 is 1.
Also check out the Least Common Multiple of 1505 and 1506
(i) The GCF of 1505 and 1506 is associative
GCF of 1505 and 1506 = GCF of 1506 and 1505
1. What is the GCF of 1505 and 1506?
Answer: GCF of 1505 and 1506 is 1.
2. 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.
3. What are the Factors of 1506?
Answer: Factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506. There are 8 integers that are factors of 1506. The greatest factor of 1506 is 1506.
4. How to Find the GCF of 1505 and 1506?
Answer:
Greatest Common Factor of 1505 and 1506 = 1
Step 1: Find the prime factorization of 1505
1505 = 5 x 7 x 43
Step 2: Find the prime factorization of 1506
1506 = 2 x 3 x 251
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 1505 and 1506 is 1