Greatest Common Factor of 10129 and 10134

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, 10134 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10129 and 10134 is 1.

GCF(10129,10134) = 1

GCF of 10129 and 10134

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

GCF of:
and

Greatest Common Factor of 10129 and 10134

GCF of 10129 and 10134 is 1

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 10134


2 10134
3 5067
3 1689
563 563
1

Prime factors of 10134 are 2,3,563. Prime factorization of 10134 in exponential form is:

10134 = 21×32×5631

∴ So by taking common prime factors GCF of 10129 and 10134 is 1

Greatest Common Factor of 10129 and 10134 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 10134

List of positive integer factors of 10134 that divides 10134 without a remainder.

1,2,3,6,9,18,563,1126,1689,3378,5067,10134

Greatest Common Factor

We found the factors and prime factorization of 10129 and 10134. The biggest common factor number is the GCF number.
So the greatest common factor 10129 and 10134 is 1.

Also check out the Least Common Multiple of 10129 and 10134

Properties of GCF 10129 and 10134

(i) The GCF of 10129 and 10134 is associative

GCF of 10129 and 10134 = GCF of 10134 and 10129

Related Greatest Common Factor of 10129

Related Greatest Common Factor of 10134

Frequently Asked Questions on GCF of 10129 and 10134

1. What is the GCF of 10129 and 10134?

Answer: GCF of 10129 and 10134 is 1.

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 10134?

Answer: Factors of 10134 are 1, 2, 3, 6, 9, 18, 563, 1126, 1689, 3378, 5067, 10134. There are 12 integers that are factors of 10134. The greatest factor of 10134 is 10134.

4. How to Find the GCF of 10129 and 10134?

Answer:

Greatest Common Factor of 10129 and 10134 = 1

Step 1: Find the prime factorization of 10129

10129 = 7 x 1447

Step 2: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

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 10129 and 10134 is 1