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 1501, 1504 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1501 and 1504 is 1.
GCF(1501,1504) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1501
19 | 1501 |
79 | 79 |
1 |
Prime factors of 1501 are 19,79. Prime factorization of 1501 in exponential form is:
1501 = 191×791
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 1501 and 1504 is 1
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1,19,79,1501
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 1501 and 1504. The biggest common factor number is the GCF number.
So the greatest common factor 1501 and 1504 is 1.
Also check out the Least Common Multiple of 1501 and 1504
(i) The GCF of 1501 and 1504 is associative
GCF of 1501 and 1504 = GCF of 1504 and 1501
1. What is the GCF of 1501 and 1504?
Answer: GCF of 1501 and 1504 is 1.
2. What are the Factors of 1501?
Answer: Factors of 1501 are 1, 19, 79, 1501. There are 4 integers that are factors of 1501. The greatest factor of 1501 is 1501.
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 1501 and 1504?
Answer:
Greatest Common Factor of 1501 and 1504 = 1
Step 1: Find the prime factorization of 1501
1501 = 19 x 79
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 1501 and 1504 is 1