Greatest Common Factor of 3489 and 3493

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

GCF of 3489 and 3493

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 3489 and 3493

GCF of 3489 and 3493 is 1

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

Greatest Common Factor of 3489 and 3493 by matching factors method

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

Properties of GCF 3489 and 3493

(i) The GCF of 3489 and 3493 is associative

GCF of 3489 and 3493 = GCF of 3493 and 3489

Frequently Asked Questions on GCF of 3489 and 3493

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