Greatest Common Factor of 3490 and 3498

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 3490, 3498 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3490 and 3498 is 2.

GCF(3490,3498) = 2

GCF of 3490 and 3498

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

GCF of:
and

Greatest Common Factor of 3490 and 3498

GCF of 3490 and 3498 is 2

Prime Factorization of 3490


2 3490
5 1745
349 349
1

Prime factors of 3490 are 2,5,349. Prime factorization of 3490 in exponential form is:

3490 = 21×51×3491

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 3490 and 3498 is 2

Greatest Common Factor of 3490 and 3498 by matching factors method

Factors of 3490

List of positive integer factors of 3490 that divides 3490 without a remainder.

1,2,5,10,349,698,1745,3490

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 3490 and 3498. The biggest common factor number is the GCF number.
So the greatest common factor 3490 and 3498 is 2.

Also check out the Least Common Multiple of 3490 and 3498

Properties of GCF 3490 and 3498

(i) The GCF of 3490 and 3498 is associative

GCF of 3490 and 3498 = GCF of 3498 and 3490

Related Greatest Common Factor of 3490

Related Greatest Common Factor of 3498

Frequently Asked Questions on GCF of 3490 and 3498

1. What is the GCF of 3490 and 3498?

Answer: GCF of 3490 and 3498 is 2.

2. What are the Factors of 3490?

Answer: Factors of 3490 are 1, 2, 5, 10, 349, 698, 1745, 3490. There are 8 integers that are factors of 3490. The greatest factor of 3490 is 3490.

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 3490 and 3498?

Answer:

Greatest Common Factor of 3490 and 3498 = 2

Step 1: Find the prime factorization of 3490

3490 = 2 x 5 x 349

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 = 2

Step 4: Therefore, the greatest common factor of 3490 and 3498 is 2