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 1494, 1497 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1494 and 1497 is 3.
GCF(1494,1497) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1494
2 | 1494 |
3 | 747 |
3 | 249 |
83 | 83 |
1 |
Prime factors of 1494 are 2,3,83. Prime factorization of 1494 in exponential form is:
1494 = 21×32×831
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 1494 and 1497 is 3
Factors of 1494
List of positive integer factors of 1494 that divides 1494 without a remainder.
1,2,3,6,9,18,83,166,249,498,747,1494
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 1494 and 1497. The biggest common factor number is the GCF number.
So the greatest common factor 1494 and 1497 is 3.
Also check out the Least Common Multiple of 1494 and 1497
(i) The GCF of 1494 and 1497 is associative
GCF of 1494 and 1497 = GCF of 1497 and 1494
1. What is the GCF of 1494 and 1497?
Answer: GCF of 1494 and 1497 is 3.
2. What are the Factors of 1494?
Answer: Factors of 1494 are 1, 2, 3, 6, 9, 18, 83, 166, 249, 498, 747, 1494. There are 12 integers that are factors of 1494. The greatest factor of 1494 is 1494.
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 1494 and 1497?
Answer:
Greatest Common Factor of 1494 and 1497 = 3
Step 1: Find the prime factorization of 1494
1494 = 2 x 3 x 3 x 83
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 = 3
Step 4: Therefore, the greatest common factor of 1494 and 1497 is 3