Greatest Common Factor of 10500 and 10504

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, 10504 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10500 and 10504 is 4.

GCF(10500,10504) = 4

GCF of 10500 and 10504

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

GCF of:
and

Greatest Common Factor of 10500 and 10504

GCF of 10500 and 10504 is 4

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 10504


2 10504
2 5252
2 2626
13 1313
101 101
1

Prime factors of 10504 are 2,13,101. Prime factorization of 10504 in exponential form is:

10504 = 23×131×1011

∴ So by taking common prime factors GCF of 10500 and 10504 is 4

Greatest Common Factor of 10500 and 10504 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 10504

List of positive integer factors of 10504 that divides 10504 without a remainder.

1,2,4,8,13,26,52,101,104,202,404,808,1313,2626,5252,10504

Greatest Common Factor

We found the factors and prime factorization of 10500 and 10504. The biggest common factor number is the GCF number.
So the greatest common factor 10500 and 10504 is 4.

Also check out the Least Common Multiple of 10500 and 10504

Properties of GCF 10500 and 10504

(i) The GCF of 10500 and 10504 is associative

GCF of 10500 and 10504 = GCF of 10504 and 10500

Related Greatest Common Factor of 10500

Related Greatest Common Factor of 10504

Frequently Asked Questions on GCF of 10500 and 10504

1. What is the GCF of 10500 and 10504?

Answer: GCF of 10500 and 10504 is 4.

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 10504?

Answer: Factors of 10504 are 1, 2, 4, 8, 13, 26, 52, 101, 104, 202, 404, 808, 1313, 2626, 5252, 10504. There are 16 integers that are factors of 10504. The greatest factor of 10504 is 10504.

4. How to Find the GCF of 10500 and 10504?

Answer:

Greatest Common Factor of 10500 and 10504 = 4

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 10504

10504 = 2 x 2 x 2 x 13 x 101

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10500 and 10504 is 4