Greatest Common Factor of 10142 and 10148

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, 10148 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10142 and 10148 is 2.

GCF(10142,10148) = 2

GCF of 10142 and 10148

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

GCF of:
and

Greatest Common Factor of 10142 and 10148

GCF of 10142 and 10148 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 10148


2 10148
2 5074
43 2537
59 59
1

Prime factors of 10148 are 2,43,59. Prime factorization of 10148 in exponential form is:

10148 = 22×431×591

∴ So by taking common prime factors GCF of 10142 and 10148 is 2

Greatest Common Factor of 10142 and 10148 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 10148

List of positive integer factors of 10148 that divides 10148 without a remainder.

1,2,4,43,59,86,118,172,236,2537,5074,10148

Greatest Common Factor

We found the factors and prime factorization of 10142 and 10148. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10148 is 2.

Also check out the Least Common Multiple of 10142 and 10148

Properties of GCF 10142 and 10148

(i) The GCF of 10142 and 10148 is associative

GCF of 10142 and 10148 = GCF of 10148 and 10142

Related Greatest Common Factor of 10142

Related Greatest Common Factor of 10148

Frequently Asked Questions on GCF of 10142 and 10148

1. What is the GCF of 10142 and 10148?

Answer: GCF of 10142 and 10148 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 10148?

Answer: Factors of 10148 are 1, 2, 4, 43, 59, 86, 118, 172, 236, 2537, 5074, 10148. There are 12 integers that are factors of 10148. The greatest factor of 10148 is 10148.

4. How to Find the GCF of 10142 and 10148?

Answer:

Greatest Common Factor of 10142 and 10148 = 2

Step 1: Find the prime factorization of 10142

10142 = 2 x 11 x 461

Step 2: Find the prime factorization of 10148

10148 = 2 x 2 x 43 x 59

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 10148 is 2