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 1491, 1496 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1491 and 1496 is 1.
GCF(1491,1496) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1491
3 | 1491 |
7 | 497 |
71 | 71 |
1 |
Prime factors of 1491 are 3,7,71. Prime factorization of 1491 in exponential form is:
1491 = 31×71×711
Prime Factorization of 1496
2 | 1496 |
2 | 748 |
2 | 374 |
11 | 187 |
17 | 17 |
1 |
Prime factors of 1496 are 2,11,17. Prime factorization of 1496 in exponential form is:
1496 = 23×111×171
∴ So by taking common prime factors GCF of 1491 and 1496 is 1
Factors of 1491
List of positive integer factors of 1491 that divides 1491 without a remainder.
1,3,7,21,71,213,497,1491
Factors of 1496
List of positive integer factors of 1496 that divides 1496 without a remainder.
1,2,4,8,11,17,22,34,44,68,88,136,187,374,748,1496
Greatest Common Factor
We found the factors and prime factorization of 1491 and 1496. The biggest common factor number is the GCF number.
So the greatest common factor 1491 and 1496 is 1.
Also check out the Least Common Multiple of 1491 and 1496
(i) The GCF of 1491 and 1496 is associative
GCF of 1491 and 1496 = GCF of 1496 and 1491
1. What is the GCF of 1491 and 1496?
Answer: GCF of 1491 and 1496 is 1.
2. What are the Factors of 1491?
Answer: Factors of 1491 are 1, 3, 7, 21, 71, 213, 497, 1491. There are 8 integers that are factors of 1491. The greatest factor of 1491 is 1491.
3. What are the Factors of 1496?
Answer: Factors of 1496 are 1, 2, 4, 8, 11, 17, 22, 34, 44, 68, 88, 136, 187, 374, 748, 1496. There are 16 integers that are factors of 1496. The greatest factor of 1496 is 1496.
4. How to Find the GCF of 1491 and 1496?
Answer:
Greatest Common Factor of 1491 and 1496 = 1
Step 1: Find the prime factorization of 1491
1491 = 3 x 7 x 71
Step 2: Find the prime factorization of 1496
1496 = 2 x 2 x 2 x 11 x 17
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 1491 and 1496 is 1