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 1504, 1512 i.e. 8 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1504 and 1512 is 8.
GCF(1504,1512) = 8
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1512
2 | 1512 |
2 | 756 |
2 | 378 |
3 | 189 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 1512 are 2,3,7. Prime factorization of 1512 in exponential form is:
1512 = 23×33×71
∴ So by taking common prime factors GCF of 1504 and 1512 is 8
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
Factors of 1512
List of positive integer factors of 1512 that divides 1512 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors and prime factorization of 1504 and 1512. The biggest common factor number is the GCF number.
So the greatest common factor 1504 and 1512 is 8.
Also check out the Least Common Multiple of 1504 and 1512
(i) The GCF of 1504 and 1512 is associative
GCF of 1504 and 1512 = GCF of 1512 and 1504
1. What is the GCF of 1504 and 1512?
Answer: GCF of 1504 and 1512 is 8.
2. 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.
3. What are the Factors of 1512?
Answer: Factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. There are 32 integers that are factors of 1512. The greatest factor of 1512 is 1512.
4. How to Find the GCF of 1504 and 1512?
Answer:
Greatest Common Factor of 1504 and 1512 = 8
Step 1: Find the prime factorization of 1504
1504 = 2 x 2 x 2 x 2 x 2 x 47
Step 2: Find the prime factorization of 1512
1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 2 x 2 = 8
Step 4: Therefore, the greatest common factor of 1504 and 1512 is 8