Greatest Common Factor of 10142 and 10149

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 10142, 10149 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10142 and 10149 is 1.

GCF(10142,10149) = 1

GCF of 10142 and 10149

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

GCF of:
and

Greatest Common Factor of 10142 and 10149

GCF of 10142 and 10149 is 1

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

Prime Factorization of 10149


3 10149
17 3383
199 199
1

Prime factors of 10149 are 3,17,199. Prime factorization of 10149 in exponential form is:

10149 = 31×171×1991

∴ So by taking common prime factors GCF of 10142 and 10149 is 1

Greatest Common Factor of 10142 and 10149 by matching factors method

Factors of 10142

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

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

Factors of 10149

List of positive integer factors of 10149 that divides 10149 without a remainder.

1,3,17,51,199,597,3383,10149

Greatest Common Factor

We found the factors and prime factorization of 10142 and 10149. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10149 is 1.

Also check out the Least Common Multiple of 10142 and 10149

Properties of GCF 10142 and 10149

(i) The GCF of 10142 and 10149 is associative

GCF of 10142 and 10149 = GCF of 10149 and 10142

Related Greatest Common Factor of 10142

Related Greatest Common Factor of 10149

Frequently Asked Questions on GCF of 10142 and 10149

1. What is the GCF of 10142 and 10149?

Answer: GCF of 10142 and 10149 is 1.

2. 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.

3. What are the Factors of 10149?

Answer: Factors of 10149 are 1, 3, 17, 51, 199, 597, 3383, 10149. There are 8 integers that are factors of 10149. The greatest factor of 10149 is 10149.

4. How to Find the GCF of 10142 and 10149?

Answer:

Greatest Common Factor of 10142 and 10149 = 1

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10149

10149 = 3 x 17 x 199

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 10142 and 10149 is 1