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, 1494 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1490 and 1494 is 2.
GCF(1490,1494) = 2
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 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
∴ So by taking common prime factors GCF of 1490 and 1494 is 2
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 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
Greatest Common Factor
We found the factors and prime factorization of 1490 and 1494. The biggest common factor number is the GCF number.
So the greatest common factor 1490 and 1494 is 2.
Also check out the Least Common Multiple of 1490 and 1494
(i) The GCF of 1490 and 1494 is associative
GCF of 1490 and 1494 = GCF of 1494 and 1490
1. What is the GCF of 1490 and 1494?
Answer: GCF of 1490 and 1494 is 2.
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 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.
4. How to Find the GCF of 1490 and 1494?
Answer:
Greatest Common Factor of 1490 and 1494 = 2
Step 1: Find the prime factorization of 1490
1490 = 2 x 5 x 149
Step 2: Find the prime factorization of 1494
1494 = 2 x 3 x 3 x 83
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 1490 and 1494 is 2