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 1506, 1508 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1506 and 1508 is 2.
GCF(1506,1508) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 1508
2 | 1508 |
2 | 754 |
13 | 377 |
29 | 29 |
1 |
Prime factors of 1508 are 2,13,29. Prime factorization of 1508 in exponential form is:
1508 = 22×131×291
∴ So by taking common prime factors GCF of 1506 and 1508 is 2
Factors of 1506
List of positive integer factors of 1506 that divides 1506 without a remainder.
1,2,3,6,251,502,753,1506
Factors of 1508
List of positive integer factors of 1508 that divides 1508 without a remainder.
1,2,4,13,26,29,52,58,116,377,754,1508
Greatest Common Factor
We found the factors and prime factorization of 1506 and 1508. The biggest common factor number is the GCF number.
So the greatest common factor 1506 and 1508 is 2.
Also check out the Least Common Multiple of 1506 and 1508
(i) The GCF of 1506 and 1508 is associative
GCF of 1506 and 1508 = GCF of 1508 and 1506
1. What is the GCF of 1506 and 1508?
Answer: GCF of 1506 and 1508 is 2.
2. 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.
3. What are the Factors of 1508?
Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.
4. How to Find the GCF of 1506 and 1508?
Answer:
Greatest Common Factor of 1506 and 1508 = 2
Step 1: Find the prime factorization of 1506
1506 = 2 x 3 x 251
Step 2: Find the prime factorization of 1508
1508 = 2 x 2 x 13 x 29
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 1506 and 1508 is 2