Greatest Common Factor of 3500 and 3505

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, 3505 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3505 is 5.

GCF(3500,3505) = 5

GCF of 3500 and 3505

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

GCF of:
and

Greatest Common Factor of 3500 and 3505

GCF of 3500 and 3505 is 5

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 3505


5 3505
701 701
1

Prime factors of 3505 are 5,701. Prime factorization of 3505 in exponential form is:

3505 = 51×7011

∴ So by taking common prime factors GCF of 3500 and 3505 is 5

Greatest Common Factor of 3500 and 3505 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 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1,5,701,3505

Greatest Common Factor

We found the factors and prime factorization of 3500 and 3505. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3505 is 5.

Also check out the Least Common Multiple of 3500 and 3505

Properties of GCF 3500 and 3505

(i) The GCF of 3500 and 3505 is associative

GCF of 3500 and 3505 = GCF of 3505 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3505

Frequently Asked Questions on GCF of 3500 and 3505

1. What is the GCF of 3500 and 3505?

Answer: GCF of 3500 and 3505 is 5.

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 3505?

Answer: Factors of 3505 are 1, 5, 701, 3505. There are 4 integers that are factors of 3505. The greatest factor of 3505 is 3505.

4. How to Find the GCF of 3500 and 3505?

Answer:

Greatest Common Factor of 3500 and 3505 = 5

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 3505

3505 = 5 x 701

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 3500 and 3505 is 5