Greatest Common Factor of 3500 and 3502

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, 3502 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3502 is 2.

GCF(3500,3502) = 2

GCF of 3500 and 3502

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

GCF of:
and

Greatest Common Factor of 3500 and 3502

GCF of 3500 and 3502 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 3502


2 3502
17 1751
103 103
1

Prime factors of 3502 are 2,17,103. Prime factorization of 3502 in exponential form is:

3502 = 21×171×1031

∴ So by taking common prime factors GCF of 3500 and 3502 is 2

Greatest Common Factor of 3500 and 3502 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 3502

List of positive integer factors of 3502 that divides 3502 without a remainder.

1,2,17,34,103,206,1751,3502

Greatest Common Factor

We found the factors and prime factorization of 3500 and 3502. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3502 is 2.

Also check out the Least Common Multiple of 3500 and 3502

Properties of GCF 3500 and 3502

(i) The GCF of 3500 and 3502 is associative

GCF of 3500 and 3502 = GCF of 3502 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3502

Frequently Asked Questions on GCF of 3500 and 3502

1. What is the GCF of 3500 and 3502?

Answer: GCF of 3500 and 3502 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 3502?

Answer: Factors of 3502 are 1, 2, 17, 34, 103, 206, 1751, 3502. There are 8 integers that are factors of 3502. The greatest factor of 3502 is 3502.

4. How to Find the GCF of 3500 and 3502?

Answer:

Greatest Common Factor of 3500 and 3502 = 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 3502

3502 = 2 x 17 x 103

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 3502 is 2