Greatest Common Factor of 10500 and 10503

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 10500, 10503 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10500 and 10503 is 3.

GCF(10500,10503) = 3

GCF of 10500 and 10503

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

GCF of:
and

Greatest Common Factor of 10500 and 10503

GCF of 10500 and 10503 is 3

Prime Factorization of 10500


2 10500
2 5250
3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 10500 are 2,3,5,7. Prime factorization of 10500 in exponential form is:

10500 = 22×31×53×71

Prime Factorization of 10503


3 10503
3 3501
3 1167
389 389
1

Prime factors of 10503 are 3,389. Prime factorization of 10503 in exponential form is:

10503 = 33×3891

∴ So by taking common prime factors GCF of 10500 and 10503 is 3

Greatest Common Factor of 10500 and 10503 by matching factors method

Factors of 10500

List of positive integer factors of 10500 that divides 10500 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,25,28,30,35,42,50,60,70,75,84,100,105,125,140,150,175,210,250,300,350,375,420,500,525,700,750,875,1050,1500,1750,2100,2625,3500,5250,10500

Factors of 10503

List of positive integer factors of 10503 that divides 10503 without a remainder.

1,3,9,27,389,1167,3501,10503

Greatest Common Factor

We found the factors and prime factorization of 10500 and 10503. The biggest common factor number is the GCF number.
So the greatest common factor 10500 and 10503 is 3.

Also check out the Least Common Multiple of 10500 and 10503

Properties of GCF 10500 and 10503

(i) The GCF of 10500 and 10503 is associative

GCF of 10500 and 10503 = GCF of 10503 and 10500

Related Greatest Common Factor of 10500

Related Greatest Common Factor of 10503

Frequently Asked Questions on GCF of 10500 and 10503

1. What is the GCF of 10500 and 10503?

Answer: GCF of 10500 and 10503 is 3.

2. What are the Factors of 10500?

Answer: Factors of 10500 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 25, 28, 30, 35, 42, 50, 60, 70, 75, 84, 100, 105, 125, 140, 150, 175, 210, 250, 300, 350, 375, 420, 500, 525, 700, 750, 875, 1050, 1500, 1750, 2100, 2625, 3500, 5250, 10500. There are 48 integers that are factors of 10500. The greatest factor of 10500 is 10500.

3. What are the Factors of 10503?

Answer: Factors of 10503 are 1, 3, 9, 27, 389, 1167, 3501, 10503. There are 8 integers that are factors of 10503. The greatest factor of 10503 is 10503.

4. How to Find the GCF of 10500 and 10503?

Answer:

Greatest Common Factor of 10500 and 10503 = 3

Step 1: Find the prime factorization of 10500

10500 = 2 x 2 x 3 x 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 10503

10503 = 3 x 3 x 3 x 389

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10500 and 10503 is 3