Greatest Common Factor of 3500 and 3503

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, 3503 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3500 and 3503 is 1.

GCF(3500,3503) = 1

GCF of 3500 and 3503

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

GCF of:
and

Greatest Common Factor of 3500 and 3503

GCF of 3500 and 3503 is 1

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 3503


31 3503
113 113
1

Prime factors of 3503 are 31,113. Prime factorization of 3503 in exponential form is:

3503 = 311×1131

∴ So by taking common prime factors GCF of 3500 and 3503 is 1

Greatest Common Factor of 3500 and 3503 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 3503

List of positive integer factors of 3503 that divides 3503 without a remainder.

1,31,113,3503

Greatest Common Factor

We found the factors and prime factorization of 3500 and 3503. The biggest common factor number is the GCF number.
So the greatest common factor 3500 and 3503 is 1.

Also check out the Least Common Multiple of 3500 and 3503

Properties of GCF 3500 and 3503

(i) The GCF of 3500 and 3503 is associative

GCF of 3500 and 3503 = GCF of 3503 and 3500

Related Greatest Common Factor of 3500

Related Greatest Common Factor of 3503

Frequently Asked Questions on GCF of 3500 and 3503

1. What is the GCF of 3500 and 3503?

Answer: GCF of 3500 and 3503 is 1.

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 3503?

Answer: Factors of 3503 are 1, 31, 113, 3503. There are 4 integers that are factors of 3503. The greatest factor of 3503 is 3503.

4. How to Find the GCF of 3500 and 3503?

Answer:

Greatest Common Factor of 3500 and 3503 = 1

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 3503

3503 = 31 x 113

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3500 and 3503 is 1