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 3489, 3493 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3489 and 3493 is 1.
GCF(3489,3493) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 3489
3 | 3489 |
1163 | 1163 |
1 |
Prime factors of 3489 are 3,1163. Prime factorization of 3489 in exponential form is:
3489 = 31×11631
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
∴ So by taking common prime factors GCF of 3489 and 3493 is 1
Factors of 3489
List of positive integer factors of 3489 that divides 3489 without a remainder.
1,3,1163,3489
Factors of 3493
List of positive integer factors of 3493 that divides 3493 without a remainder.
1,7,499,3493
Greatest Common Factor
We found the factors and prime factorization of 3489 and 3493. The biggest common factor number is the GCF number.
So the greatest common factor 3489 and 3493 is 1.
Also check out the Least Common Multiple of 3489 and 3493
(i) The GCF of 3489 and 3493 is associative
GCF of 3489 and 3493 = GCF of 3493 and 3489
1. What is the GCF of 3489 and 3493?
Answer: GCF of 3489 and 3493 is 1.
2. What are the Factors of 3489?
Answer: Factors of 3489 are 1, 3, 1163, 3489. There are 4 integers that are factors of 3489. The greatest factor of 3489 is 3489.
3. 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.
4. How to Find the GCF of 3489 and 3493?
Answer:
Greatest Common Factor of 3489 and 3493 = 1
Step 1: Find the prime factorization of 3489
3489 = 3 x 1163
Step 2: Find the prime factorization of 3493
3493 = 7 x 499
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 3489 and 3493 is 1