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 3493, 3498 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3493 and 3498 is 1.
GCF(3493,3498) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3493
7 | 3493 |
499 | 499 |
1 |
Prime factors of 3493 are 7,499. Prime factorization of 3493 in exponential form is:
3493 = 71×4991
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 3493 and 3498 is 1
Factors of 3493
List of positive integer factors of 3493 that divides 3493 without a remainder.
1,7,499,3493
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 3493 and 3498. The biggest common factor number is the GCF number.
So the greatest common factor 3493 and 3498 is 1.
Also check out the Least Common Multiple of 3493 and 3498
(i) The GCF of 3493 and 3498 is associative
GCF of 3493 and 3498 = GCF of 3498 and 3493
1. What is the GCF of 3493 and 3498?
Answer: GCF of 3493 and 3498 is 1.
2. What are the Factors of 3493?
Answer: Factors of 3493 are 1, 7, 499, 3493. There are 4 integers that are factors of 3493. The greatest factor of 3493 is 3493.
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 3493 and 3498?
Answer:
Greatest Common Factor of 3493 and 3498 = 1
Step 1: Find the prime factorization of 3493
3493 = 7 x 499
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 = = 1
Step 4: Therefore, the greatest common factor of 3493 and 3498 is 1