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 1490, 1497 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1490 and 1497 is 1.
GCF(1490,1497) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1490
2 | 1490 |
5 | 745 |
149 | 149 |
1 |
Prime factors of 1490 are 2,5,149. Prime factorization of 1490 in exponential form is:
1490 = 21×51×1491
Prime Factorization of 1497
3 | 1497 |
499 | 499 |
1 |
Prime factors of 1497 are 3,499. Prime factorization of 1497 in exponential form is:
1497 = 31×4991
∴ So by taking common prime factors GCF of 1490 and 1497 is 1
Factors of 1490
List of positive integer factors of 1490 that divides 1490 without a remainder.
1,2,5,10,149,298,745,1490
Factors of 1497
List of positive integer factors of 1497 that divides 1497 without a remainder.
1,3,499,1497
Greatest Common Factor
We found the factors and prime factorization of 1490 and 1497. The biggest common factor number is the GCF number.
So the greatest common factor 1490 and 1497 is 1.
Also check out the Least Common Multiple of 1490 and 1497
(i) The GCF of 1490 and 1497 is associative
GCF of 1490 and 1497 = GCF of 1497 and 1490
1. What is the GCF of 1490 and 1497?
Answer: GCF of 1490 and 1497 is 1.
2. What are the Factors of 1490?
Answer: Factors of 1490 are 1, 2, 5, 10, 149, 298, 745, 1490. There are 8 integers that are factors of 1490. The greatest factor of 1490 is 1490.
3. What are the Factors of 1497?
Answer: Factors of 1497 are 1, 3, 499, 1497. There are 4 integers that are factors of 1497. The greatest factor of 1497 is 1497.
4. How to Find the GCF of 1490 and 1497?
Answer:
Greatest Common Factor of 1490 and 1497 = 1
Step 1: Find the prime factorization of 1490
1490 = 2 x 5 x 149
Step 2: Find the prime factorization of 1497
1497 = 3 x 499
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 1490 and 1497 is 1