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 1503, 1504 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1503 and 1504 is 1.
GCF(1503,1504) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1503
3 | 1503 |
3 | 501 |
167 | 167 |
1 |
Prime factors of 1503 are 3,167. Prime factorization of 1503 in exponential form is:
1503 = 32×1671
Prime Factorization of 1504
2 | 1504 |
2 | 752 |
2 | 376 |
2 | 188 |
2 | 94 |
47 | 47 |
1 |
Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:
1504 = 25×471
∴ So by taking common prime factors GCF of 1503 and 1504 is 1
Factors of 1503
List of positive integer factors of 1503 that divides 1503 without a remainder.
1,3,9,167,501,1503
Factors of 1504
List of positive integer factors of 1504 that divides 1504 without a remainder.
1,2,4,8,16,32,47,94,188,376,752,1504
Greatest Common Factor
We found the factors and prime factorization of 1503 and 1504. The biggest common factor number is the GCF number.
So the greatest common factor 1503 and 1504 is 1.
Also check out the Least Common Multiple of 1503 and 1504
(i) The GCF of 1503 and 1504 is associative
GCF of 1503 and 1504 = GCF of 1504 and 1503
1. What is the GCF of 1503 and 1504?
Answer: GCF of 1503 and 1504 is 1.
2. What are the Factors of 1503?
Answer: Factors of 1503 are 1, 3, 9, 167, 501, 1503. There are 6 integers that are factors of 1503. The greatest factor of 1503 is 1503.
3. What are the Factors of 1504?
Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.
4. How to Find the GCF of 1503 and 1504?
Answer:
Greatest Common Factor of 1503 and 1504 = 1
Step 1: Find the prime factorization of 1503
1503 = 3 x 3 x 167
Step 2: Find the prime factorization of 1504
1504 = 2 x 2 x 2 x 2 x 2 x 47
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 1503 and 1504 is 1