Greatest Common Factor of 10142 and 10150

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, 10150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10142 and 10150 is 2.

GCF(10142,10150) = 2

GCF of 10142 and 10150

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

GCF of:
and

Greatest Common Factor of 10142 and 10150

GCF of 10142 and 10150 is 2

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 10150


2 10150
5 5075
5 1015
7 203
29 29
1

Prime factors of 10150 are 2,5,7,29. Prime factorization of 10150 in exponential form is:

10150 = 21×52×71×291

∴ So by taking common prime factors GCF of 10142 and 10150 is 2

Greatest Common Factor of 10142 and 10150 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 10150

List of positive integer factors of 10150 that divides 10150 without a remainder.

1,2,5,7,10,14,25,29,35,50,58,70,145,175,203,290,350,406,725,1015,1450,2030,5075,10150

Greatest Common Factor

We found the factors and prime factorization of 10142 and 10150. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10150 is 2.

Also check out the Least Common Multiple of 10142 and 10150

Properties of GCF 10142 and 10150

(i) The GCF of 10142 and 10150 is associative

GCF of 10142 and 10150 = GCF of 10150 and 10142

Related Greatest Common Factor of 10142

Related Greatest Common Factor of 10150

Frequently Asked Questions on GCF of 10142 and 10150

1. What is the GCF of 10142 and 10150?

Answer: GCF of 10142 and 10150 is 2.

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 10150?

Answer: Factors of 10150 are 1, 2, 5, 7, 10, 14, 25, 29, 35, 50, 58, 70, 145, 175, 203, 290, 350, 406, 725, 1015, 1450, 2030, 5075, 10150. There are 24 integers that are factors of 10150. The greatest factor of 10150 is 10150.

4. How to Find the GCF of 10142 and 10150?

Answer:

Greatest Common Factor of 10142 and 10150 = 2

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10150

10150 = 2 x 5 x 5 x 7 x 29

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 10142 and 10150 is 2