Greatest Common Factor of 3500 and 3507

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, 3507 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3507 is 7.

GCF(3500,3507) = 7

GCF of 3500 and 3507

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

GCF of:
and

Greatest Common Factor of 3500 and 3507

GCF of 3500 and 3507 is 7

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 3507


3 3507
7 1169
167 167
1

Prime factors of 3507 are 3,7,167. Prime factorization of 3507 in exponential form is:

3507 = 31×71×1671

∴ So by taking common prime factors GCF of 3500 and 3507 is 7

Greatest Common Factor of 3500 and 3507 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 3507

List of positive integer factors of 3507 that divides 3507 without a remainder.

1,3,7,21,167,501,1169,3507

Greatest Common Factor

We found the factors and prime factorization of 3500 and 3507. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3507 is 7.

Also check out the Least Common Multiple of 3500 and 3507

Properties of GCF 3500 and 3507

(i) The GCF of 3500 and 3507 is associative

GCF of 3500 and 3507 = GCF of 3507 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3507

Frequently Asked Questions on GCF of 3500 and 3507

1. What is the GCF of 3500 and 3507?

Answer: GCF of 3500 and 3507 is 7.

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 3507?

Answer: Factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507. There are 8 integers that are factors of 3507. The greatest factor of 3507 is 3507.

4. How to Find the GCF of 3500 and 3507?

Answer:

Greatest Common Factor of 3500 and 3507 = 7

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 3507

3507 = 3 x 7 x 167

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3500 and 3507 is 7