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, 1498 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1494 and 1498 is 2.
GCF(1494,1498) = 2
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 1498
2 | 1498 |
7 | 749 |
107 | 107 |
1 |
Prime factors of 1498 are 2,7,107. Prime factorization of 1498 in exponential form is:
1498 = 21×71×1071
∴ So by taking common prime factors GCF of 1494 and 1498 is 2
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 1498
List of positive integer factors of 1498 that divides 1498 without a remainder.
1,2,7,14,107,214,749,1498
Greatest Common Factor
We found the factors and prime factorization of 1494 and 1498. The biggest common factor number is the GCF number.
So the greatest common factor 1494 and 1498 is 2.
Also check out the Least Common Multiple of 1494 and 1498
(i) The GCF of 1494 and 1498 is associative
GCF of 1494 and 1498 = GCF of 1498 and 1494
1. What is the GCF of 1494 and 1498?
Answer: GCF of 1494 and 1498 is 2.
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 1498?
Answer: Factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498. There are 8 integers that are factors of 1498. The greatest factor of 1498 is 1498.
4. How to Find the GCF of 1494 and 1498?
Answer:
Greatest Common Factor of 1494 and 1498 = 2
Step 1: Find the prime factorization of 1494
1494 = 2 x 3 x 3 x 83
Step 2: Find the prime factorization of 1498
1498 = 2 x 7 x 107
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 1494 and 1498 is 2