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, 3491 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 3489 and 3491 is 1.
GCF(3489,3491) = 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 3491
3491 | 3491 |
1 |
Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:
3491 = 34911
∴ So by taking common prime factors GCF of 3489 and 3491 is 1
Factors of 3489
List of positive integer factors of 3489 that divides 3489 without a remainder.
1,3,1163,3489
Factors of 3491
List of positive integer factors of 3491 that divides 3491 without a remainder.
1,3491
Greatest Common Factor
We found the factors and prime factorization of 3489 and 3491. The biggest common factor number is the GCF number.
So the greatest common factor 3489 and 3491 is 1.
Also check out the Least Common Multiple of 3489 and 3491
(i) The GCF of 3489 and 3491 is associative
GCF of 3489 and 3491 = GCF of 3491 and 3489
1. What is the GCF of 3489 and 3491?
Answer: GCF of 3489 and 3491 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 3491?
Answer: Factors of 3491 are 1, 3491. There are 2 integers that are factors of 3491. The greatest factor of 3491 is 3491.
4. How to Find the GCF of 3489 and 3491?
Answer:
Greatest Common Factor of 3489 and 3491 = 1
Step 1: Find the prime factorization of 3489
3489 = 3 x 1163
Step 2: Find the prime factorization of 3491
3491 = 3491
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 3491 is 1