Greatest Common Factor of 10136 and 10143

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 10136, 10143 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10136 and 10143 is 7.

GCF(10136,10143) = 7

GCF of 10136 and 10143

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

GCF of:
and

Greatest Common Factor of 10136 and 10143

GCF of 10136 and 10143 is 7

Prime Factorization of 10136


2 10136
2 5068
2 2534
7 1267
181 181
1

Prime factors of 10136 are 2,7,181. Prime factorization of 10136 in exponential form is:

10136 = 23×71×1811

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

∴ So by taking common prime factors GCF of 10136 and 10143 is 7

Greatest Common Factor of 10136 and 10143 by matching factors method

Factors of 10136

List of positive integer factors of 10136 that divides 10136 without a remainder.

1,2,4,7,8,14,28,56,181,362,724,1267,1448,2534,5068,10136

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

Greatest Common Factor

We found the factors and prime factorization of 10136 and 10143. The biggest common factor number is the GCF number.
So the greatest common factor 10136 and 10143 is 7.

Also check out the Least Common Multiple of 10136 and 10143

Properties of GCF 10136 and 10143

(i) The GCF of 10136 and 10143 is associative

GCF of 10136 and 10143 = GCF of 10143 and 10136

Related Greatest Common Factor of 10136

Related Greatest Common Factor of 10143

Frequently Asked Questions on GCF of 10136 and 10143

1. What is the GCF of 10136 and 10143?

Answer: GCF of 10136 and 10143 is 7.

2. What are the Factors of 10136?

Answer: Factors of 10136 are 1, 2, 4, 7, 8, 14, 28, 56, 181, 362, 724, 1267, 1448, 2534, 5068, 10136. There are 16 integers that are factors of 10136. The greatest factor of 10136 is 10136.

3. 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.

4. How to Find the GCF of 10136 and 10143?

Answer:

Greatest Common Factor of 10136 and 10143 = 7

Step 1: Find the prime factorization of 10136

10136 = 2 x 2 x 2 x 7 x 181

Step 2: Find the prime factorization of 10143

10143 = 3 x 3 x 7 x 7 x 23

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 10136 and 10143 is 7