Greatest Common Factor of 10143 and 10150

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 10143, 10150 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10143 and 10150 is 7.

GCF(10143,10150) = 7

GCF of 10143 and 10150

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

GCF of:
and

Greatest Common Factor of 10143 and 10150

GCF of 10143 and 10150 is 7

Prime Factorization of 10143


3 10143
3 3381
7 1127
7 161
23 23
1

Prime factors of 10143 are 3,7,23. Prime factorization of 10143 in exponential form is:

10143 = 32×72×231

Prime Factorization of 10150


2 10150
5 5075
5 1015
7 203
29 29
1

Prime factors of 10150 are 2,5,7,29. Prime factorization of 10150 in exponential form is:

10150 = 21×52×71×291

∴ So by taking common prime factors GCF of 10143 and 10150 is 7

Greatest Common Factor of 10143 and 10150 by matching factors method

Factors of 10143

List of positive integer factors of 10143 that divides 10143 without a remainder.

1,3,7,9,21,23,49,63,69,147,161,207,441,483,1127,1449,3381,10143

Factors of 10150

List of positive integer factors of 10150 that divides 10150 without a remainder.

1,2,5,7,10,14,25,29,35,50,58,70,145,175,203,290,350,406,725,1015,1450,2030,5075,10150

Greatest Common Factor

We found the factors and prime factorization of 10143 and 10150. The biggest common factor number is the GCF number.
So the greatest common factor 10143 and 10150 is 7.

Also check out the Least Common Multiple of 10143 and 10150

Properties of GCF 10143 and 10150

(i) The GCF of 10143 and 10150 is associative

GCF of 10143 and 10150 = GCF of 10150 and 10143

Related Greatest Common Factor of 10143

Related Greatest Common Factor of 10150

Frequently Asked Questions on GCF of 10143 and 10150

1. What is the GCF of 10143 and 10150?

Answer: GCF of 10143 and 10150 is 7.

2. What are the Factors of 10143?

Answer: Factors of 10143 are 1, 3, 7, 9, 21, 23, 49, 63, 69, 147, 161, 207, 441, 483, 1127, 1449, 3381, 10143. There are 18 integers that are factors of 10143. The greatest factor of 10143 is 10143.

3. What are the Factors of 10150?

Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.

4. How to Find the GCF of 10143 and 10150?

Answer:

Greatest Common Factor of 10143 and 10150 = 7

Step 1: Find the prime factorization of 10143

10143 = 3 x 3 x 7 x 7 x 23

Step 2: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

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 10143 and 10150 is 7