Greatest Common Factor of 3500 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 3500, 3506 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3506 is 2.

GCF(3500,3506) = 2

GCF of 3500 and 3506

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

GCF of:
and

Greatest Common Factor of 3500 and 3506

GCF of 3500 and 3506 is 2

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

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 3500 and 3506 is 2

Greatest Common Factor of 3500 and 3506 by matching factors method

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

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 3500 and 3506. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3506 is 2.

Also check out the Least Common Multiple of 3500 and 3506

Properties of GCF 3500 and 3506

(i) The GCF of 3500 and 3506 is associative

GCF of 3500 and 3506 = GCF of 3506 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3506

Frequently Asked Questions on GCF of 3500 and 3506

1. What is the GCF of 3500 and 3506?

Answer: GCF of 3500 and 3506 is 2.

2. 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.

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 3500 and 3506?

Answer:

Greatest Common Factor of 3500 and 3506 = 2

Step 1: Find the prime factorization of 3500

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

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 3500 and 3506 is 2