Greatest Common Factor of 3498 and 3500

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, 3500 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3498 and 3500 is 2.

GCF(3498,3500) = 2

GCF of 3498 and 3500

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

GCF of:
and

Greatest Common Factor of 3498 and 3500

GCF of 3498 and 3500 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 3500


2 3500
2 1750
5 875
5 175
5 35
7 7
1

Prime factors of 3500 are 2,5,7. Prime factorization of 3500 in exponential form is:

3500 = 22×53×71

∴ So by taking common prime factors GCF of 3498 and 3500 is 2

Greatest Common Factor of 3498 and 3500 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 3500

List of positive integer factors of 3500 that divides 3500 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,125,140,175,250,350,500,700,875,1750,3500

Greatest Common Factor

We found the factors and prime factorization of 3498 and 3500. The biggest common factor number is the GCF number.
So the greatest common factor 3498 and 3500 is 2.

Also check out the Least Common Multiple of 3498 and 3500

Properties of GCF 3498 and 3500

(i) The GCF of 3498 and 3500 is associative

GCF of 3498 and 3500 = GCF of 3500 and 3498

Related Greatest Common Factor of 3498

Related Greatest Common Factor of 3500

Frequently Asked Questions on GCF of 3498 and 3500

1. What is the GCF of 3498 and 3500?

Answer: GCF of 3498 and 3500 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 3500?

Answer: Factors of 3500 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 125, 140, 175, 250, 350, 500, 700, 875, 1750, 3500. There are 24 integers that are factors of 3500. The greatest factor of 3500 is 3500.

4. How to Find the GCF of 3498 and 3500?

Answer:

Greatest Common Factor of 3498 and 3500 = 2

Step 1: Find the prime factorization of 3498

3498 = 2 x 3 x 11 x 53

Step 2: Find the prime factorization of 3500

3500 = 2 x 2 x 5 x 5 x 5 x 7

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 3500 is 2