Greatest Common Factor of 10142 and 10147

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, 10147 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10142 and 10147 is 1.

GCF(10142,10147) = 1

GCF of 10142 and 10147

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

GCF of:
and

Greatest Common Factor of 10142 and 10147

GCF of 10142 and 10147 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 10147


73 10147
139 139
1

Prime factors of 10147 are 73,139. Prime factorization of 10147 in exponential form is:

10147 = 731×1391

∴ So by taking common prime factors GCF of 10142 and 10147 is 1

Greatest Common Factor of 10142 and 10147 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 10147

List of positive integer factors of 10147 that divides 10147 without a remainder.

1,73,139,10147

Greatest Common Factor

We found the factors and prime factorization of 10142 and 10147. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10147 is 1.

Also check out the Least Common Multiple of 10142 and 10147

Properties of GCF 10142 and 10147

(i) The GCF of 10142 and 10147 is associative

GCF of 10142 and 10147 = GCF of 10147 and 10142

Related Greatest Common Factor of 10142

Related Greatest Common Factor of 10147

Frequently Asked Questions on GCF of 10142 and 10147

1. What is the GCF of 10142 and 10147?

Answer: GCF of 10142 and 10147 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 10147?

Answer: Factors of 10147 are 1, 73, 139, 10147. There are 4 integers that are factors of 10147. The greatest factor of 10147 is 10147.

4. How to Find the GCF of 10142 and 10147?

Answer:

Greatest Common Factor of 10142 and 10147 = 1

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10147

10147 = 73 x 139

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 10147 is 1