Greatest Common Factor of 5138 and 5142

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 5138, 5142 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5138 and 5142 is 2.

GCF(5138,5142) = 2

GCF of 5138 and 5142

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

GCF of:
and

Greatest Common Factor of 5138 and 5142

GCF of 5138 and 5142 is 2

Prime Factorization of 5138


2 5138
7 2569
367 367
1

Prime factors of 5138 are 2,7,367. Prime factorization of 5138 in exponential form is:

5138 = 21×71×3671

Prime Factorization of 5142


2 5142
3 2571
857 857
1

Prime factors of 5142 are 2,3,857. Prime factorization of 5142 in exponential form is:

5142 = 21×31×8571

∴ So by taking common prime factors GCF of 5138 and 5142 is 2

Greatest Common Factor of 5138 and 5142 by matching factors method

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Factors of 5142

List of positive integer factors of 5142 that divides 5142 without a remainder.

1,2,3,6,857,1714,2571,5142

Greatest Common Factor

We found the factors and prime factorization of 5138 and 5142. The biggest common factor number is the GCF number.
So the greatest common factor 5138 and 5142 is 2.

Also check out the Least Common Multiple of 5138 and 5142

Properties of GCF 5138 and 5142

(i) The GCF of 5138 and 5142 is associative

GCF of 5138 and 5142 = GCF of 5142 and 5138

Related Greatest Common Factor of 5138

Related Greatest Common Factor of 5142

Frequently Asked Questions on GCF of 5138 and 5142

1. What is the GCF of 5138 and 5142?

Answer: GCF of 5138 and 5142 is 2.

2. What are the Factors of 5138?

Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.

3. What are the Factors of 5142?

Answer: Factors of 5142 are 1, 2, 3, 6, 857, 1714, 2571, 5142. There are 8 integers that are factors of 5142. The greatest factor of 5142 is 5142.

4. How to Find the GCF of 5138 and 5142?

Answer:

Greatest Common Factor of 5138 and 5142 = 2

Step 1: Find the prime factorization of 5138

5138 = 2 x 7 x 367

Step 2: Find the prime factorization of 5142

5142 = 2 x 3 x 857

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 5138 and 5142 is 2