Greatest Common Factor of 10500 and 10501

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, 10501 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10500 and 10501 is 1.

GCF(10500,10501) = 1

GCF of 10500 and 10501

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

GCF of:
and

Greatest Common Factor of 10500 and 10501

GCF of 10500 and 10501 is 1

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 10501


10501 10501
1

Prime factors of 10501 are 10501. Prime factorization of 10501 in exponential form is:

10501 = 105011

∴ So by taking common prime factors GCF of 10500 and 10501 is 1

Greatest Common Factor of 10500 and 10501 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 10501

List of positive integer factors of 10501 that divides 10501 without a remainder.

1,10501

Greatest Common Factor

We found the factors and prime factorization of 10500 and 10501. The biggest common factor number is the GCF number.
So the greatest common factor 10500 and 10501 is 1.

Also check out the Least Common Multiple of 10500 and 10501

Properties of GCF 10500 and 10501

(i) The GCF of 10500 and 10501 is associative

GCF of 10500 and 10501 = GCF of 10501 and 10500

Related Greatest Common Factor of 10500

Related Greatest Common Factor of 10501

Frequently Asked Questions on GCF of 10500 and 10501

1. What is the GCF of 10500 and 10501?

Answer: GCF of 10500 and 10501 is 1.

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 10501?

Answer: Factors of 10501 are 1, 10501. There are 2 integers that are factors of 10501. The greatest factor of 10501 is 10501.

4. How to Find the GCF of 10500 and 10501?

Answer:

Greatest Common Factor of 10500 and 10501 = 1

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 10501

10501 = 10501

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 10500 and 10501 is 1