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 1510, 1512 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1510 and 1512 is 2.
GCF(1510,1512) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1510
2 | 1510 |
5 | 755 |
151 | 151 |
1 |
Prime factors of 1510 are 2,5,151. Prime factorization of 1510 in exponential form is:
1510 = 21×51×1511
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 1510 and 1512 is 2
Factors of 1510
List of positive integer factors of 1510 that divides 1510 without a remainder.
1,2,5,10,151,302,755,1510
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 1510 and 1512. The biggest common factor number is the GCF number.
So the greatest common factor 1510 and 1512 is 2.
Also check out the Least Common Multiple of 1510 and 1512
(i) The GCF of 1510 and 1512 is associative
GCF of 1510 and 1512 = GCF of 1512 and 1510
1. What is the GCF of 1510 and 1512?
Answer: GCF of 1510 and 1512 is 2.
2. What are the Factors of 1510?
Answer: Factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510. There are 8 integers that are factors of 1510. The greatest factor of 1510 is 1510.
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 1510 and 1512?
Answer:
Greatest Common Factor of 1510 and 1512 = 2
Step 1: Find the prime factorization of 1510
1510 = 2 x 5 x 151
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
Step 4: Therefore, the greatest common factor of 1510 and 1512 is 2