Greatest Common Factor of 10134 and 10142

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 10134, 10142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10134 and 10142 is 2.

GCF(10134,10142) = 2

GCF of 10134 and 10142

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

GCF of:
and

Greatest Common Factor of 10134 and 10142

GCF of 10134 and 10142 is 2

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

Prime Factorization of 10142


2 10142
11 5071
461 461
1

Prime factors of 10142 are 2,11,461. Prime factorization of 10142 in exponential form is:

10142 = 21×111×4611

∴ So by taking common prime factors GCF of 10134 and 10142 is 2

Greatest Common Factor of 10134 and 10142 by matching factors method

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

Factors of 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1,2,11,22,461,922,5071,10142

Greatest Common Factor

We found the factors and prime factorization of 10134 and 10142. The biggest common factor number is the GCF number.
So the greatest common factor 10134 and 10142 is 2.

Also check out the Least Common Multiple of 10134 and 10142

Properties of GCF 10134 and 10142

(i) The GCF of 10134 and 10142 is associative

GCF of 10134 and 10142 = GCF of 10142 and 10134

Related Greatest Common Factor of 10134

Related Greatest Common Factor of 10142

Frequently Asked Questions on GCF of 10134 and 10142

1. What is the GCF of 10134 and 10142?

Answer: GCF of 10134 and 10142 is 2.

2. 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.

3. What are the Factors of 10142?

Answer: Factors of 10142 are 1, 2, 11, 22, 461, 922, 5071, 10142. There are 8 integers that are factors of 10142. The greatest factor of 10142 is 10142.

4. How to Find the GCF of 10134 and 10142?

Answer:

Greatest Common Factor of 10134 and 10142 = 2

Step 1: Find the prime factorization of 10134

10134 = 2 x 3 x 3 x 563

Step 2: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 10134 and 10142 is 2