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 3494, 3498 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3494 and 3498 is 2.
GCF(3494,3498) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3494
2 | 3494 |
1747 | 1747 |
1 |
Prime factors of 3494 are 2,1747. Prime factorization of 3494 in exponential form is:
3494 = 21×17471
Prime Factorization of 3498
2 | 3498 |
3 | 1749 |
11 | 583 |
53 | 53 |
1 |
Prime factors of 3498 are 2,3,11,53. Prime factorization of 3498 in exponential form is:
3498 = 21×31×111×531
∴ So by taking common prime factors GCF of 3494 and 3498 is 2
Factors of 3494
List of positive integer factors of 3494 that divides 3494 without a remainder.
1,2,1747,3494
Factors of 3498
List of positive integer factors of 3498 that divides 3498 without a remainder.
1,2,3,6,11,22,33,53,66,106,159,318,583,1166,1749,3498
Greatest Common Factor
We found the factors and prime factorization of 3494 and 3498. The biggest common factor number is the GCF number.
So the greatest common factor 3494 and 3498 is 2.
Also check out the Least Common Multiple of 3494 and 3498
(i) The GCF of 3494 and 3498 is associative
GCF of 3494 and 3498 = GCF of 3498 and 3494
1. What is the GCF of 3494 and 3498?
Answer: GCF of 3494 and 3498 is 2.
2. What are the Factors of 3494?
Answer: Factors of 3494 are 1, 2, 1747, 3494. There are 4 integers that are factors of 3494. The greatest factor of 3494 is 3494.
3. What are the Factors of 3498?
Answer: Factors of 3498 are 1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 159, 318, 583, 1166, 1749, 3498. There are 16 integers that are factors of 3498. The greatest factor of 3498 is 3498.
4. How to Find the GCF of 3494 and 3498?
Answer:
Greatest Common Factor of 3494 and 3498 = 2
Step 1: Find the prime factorization of 3494
3494 = 2 x 1747
Step 2: Find the prime factorization of 3498
3498 = 2 x 3 x 11 x 53
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 3494 and 3498 is 2