Greatest Common Factor of 10143 and 10146

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, 10146 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10143 and 10146 is 3.

GCF(10143,10146) = 3

GCF of 10143 and 10146

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

GCF of:
and

Greatest Common Factor of 10143 and 10146

GCF of 10143 and 10146 is 3

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 10146


2 10146
3 5073
19 1691
89 89
1

Prime factors of 10146 are 2,3,19,89. Prime factorization of 10146 in exponential form is:

10146 = 21×31×191×891

∴ So by taking common prime factors GCF of 10143 and 10146 is 3

Greatest Common Factor of 10143 and 10146 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 10146

List of positive integer factors of 10146 that divides 10146 without a remainder.

1,2,3,6,19,38,57,89,114,178,267,534,1691,3382,5073,10146

Greatest Common Factor

We found the factors and prime factorization of 10143 and 10146. The biggest common factor number is the GCF number.
So the greatest common factor 10143 and 10146 is 3.

Also check out the Least Common Multiple of 10143 and 10146

Properties of GCF 10143 and 10146

(i) The GCF of 10143 and 10146 is associative

GCF of 10143 and 10146 = GCF of 10146 and 10143

Related Greatest Common Factor of 10143

Related Greatest Common Factor of 10146

Frequently Asked Questions on GCF of 10143 and 10146

1. What is the GCF of 10143 and 10146?

Answer: GCF of 10143 and 10146 is 3.

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 10146?

Answer: Factors of 10146 are 1, 2, 3, 6, 19, 38, 57, 89, 114, 178, 267, 534, 1691, 3382, 5073, 10146. There are 16 integers that are factors of 10146. The greatest factor of 10146 is 10146.

4. How to Find the GCF of 10143 and 10146?

Answer:

Greatest Common Factor of 10143 and 10146 = 3

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 10146

10146 = 2 x 3 x 19 x 89

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 10143 and 10146 is 3