Greatest Common Factor of 3486 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 3486, 3493 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3486 and 3493 is 7.

GCF(3486,3493) = 7

GCF of 3486 and 3493

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

GCF of:
and

Greatest Common Factor of 3486 and 3493

GCF of 3486 and 3493 is 7

Prime Factorization of 3486


2 3486
3 1743
7 581
83 83
1

Prime factors of 3486 are 2,3,7,83. Prime factorization of 3486 in exponential form is:

3486 = 21×31×71×831

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 3486 and 3493 is 7

Greatest Common Factor of 3486 and 3493 by matching factors method

Factors of 3486

List of positive integer factors of 3486 that divides 3486 without a remainder.

1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486

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 3486 and 3493. The biggest common factor number is the GCF number.
So the greatest common factor 3486 and 3493 is 7.

Also check out the Least Common Multiple of 3486 and 3493

Properties of GCF 3486 and 3493

(i) The GCF of 3486 and 3493 is associative

GCF of 3486 and 3493 = GCF of 3493 and 3486

Related Greatest Common Factor of 3486

Related Greatest Common Factor of 3493

Frequently Asked Questions on GCF of 3486 and 3493

1. What is the GCF of 3486 and 3493?

Answer: GCF of 3486 and 3493 is 7.

2. What are the Factors of 3486?

Answer: Factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486. There are 16 integers that are factors of 3486. The greatest factor of 3486 is 3486.

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 3486 and 3493?

Answer:

Greatest Common Factor of 3486 and 3493 = 7

Step 1: Find the prime factorization of 3486

3486 = 2 x 3 x 7 x 83

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 = 7

Step 4: Therefore, the greatest common factor of 3486 and 3493 is 7