Greatest Common Factor of 10129 and 10136

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 10129, 10136 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10129 and 10136 is 7.

GCF(10129,10136) = 7

GCF of 10129 and 10136

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

GCF of:
and

Greatest Common Factor of 10129 and 10136

GCF of 10129 and 10136 is 7

Prime Factorization of 10129


7 10129
1447 1447
1

Prime factors of 10129 are 7,1447. Prime factorization of 10129 in exponential form is:

10129 = 71×14471

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

∴ So by taking common prime factors GCF of 10129 and 10136 is 7

Greatest Common Factor of 10129 and 10136 by matching factors method

Factors of 10129

List of positive integer factors of 10129 that divides 10129 without a remainder.

1,7,1447,10129

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

Greatest Common Factor

We found the factors and prime factorization of 10129 and 10136. The biggest common factor number is the GCF number.
So the greatest common factor 10129 and 10136 is 7.

Also check out the Least Common Multiple of 10129 and 10136

Properties of GCF 10129 and 10136

(i) The GCF of 10129 and 10136 is associative

GCF of 10129 and 10136 = GCF of 10136 and 10129

Related Greatest Common Factor of 10129

Related Greatest Common Factor of 10136

Frequently Asked Questions on GCF of 10129 and 10136

1. What is the GCF of 10129 and 10136?

Answer: GCF of 10129 and 10136 is 7.

2. What are the Factors of 10129?

Answer: Factors of 10129 are 1, 7, 1447, 10129. There are 4 integers that are factors of 10129. The greatest factor of 10129 is 10129.

3. 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.

4. How to Find the GCF of 10129 and 10136?

Answer:

Greatest Common Factor of 10129 and 10136 = 7

Step 1: Find the prime factorization of 10129

10129 = 7 x 1447

Step 2: Find the prime factorization of 10136

10136 = 2 x 2 x 2 x 7 x 181

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 10129 and 10136 is 7