Greatest Common Factor of 3498 and 3506

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 3498, 3506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3498 and 3506 is 2.

GCF(3498,3506) = 2

GCF of 3498 and 3506

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

GCF of:
and

Greatest Common Factor of 3498 and 3506

GCF of 3498 and 3506 is 2

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

Prime Factorization of 3506


2 3506
1753 1753
1

Prime factors of 3506 are 2,1753. Prime factorization of 3506 in exponential form is:

3506 = 21×17531

∴ So by taking common prime factors GCF of 3498 and 3506 is 2

Greatest Common Factor of 3498 and 3506 by matching factors method

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

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Greatest Common Factor

We found the factors and prime factorization of 3498 and 3506. The biggest common factor number is the GCF number.
So the greatest common factor 3498 and 3506 is 2.

Also check out the Least Common Multiple of 3498 and 3506

Properties of GCF 3498 and 3506

(i) The GCF of 3498 and 3506 is associative

GCF of 3498 and 3506 = GCF of 3506 and 3498

Related Greatest Common Factor of 3498

Related Greatest Common Factor of 3506

Frequently Asked Questions on GCF of 3498 and 3506

1. What is the GCF of 3498 and 3506?

Answer: GCF of 3498 and 3506 is 2.

2. 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.

3. What are the Factors of 3506?

Answer: Factors of 3506 are 1, 2, 1753, 3506. There are 4 integers that are factors of 3506. The greatest factor of 3506 is 3506.

4. How to Find the GCF of 3498 and 3506?

Answer:

Greatest Common Factor of 3498 and 3506 = 2

Step 1: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 3506

3506 = 2 x 1753

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 3498 and 3506 is 2