Greatest Common Factor of 5142 and 5146

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 5142, 5146 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5142 and 5146 is 2.

GCF(5142,5146) = 2

GCF of 5142 and 5146

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

GCF of:
and

Greatest Common Factor of 5142 and 5146

GCF of 5142 and 5146 is 2

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

Prime Factorization of 5146


2 5146
31 2573
83 83
1

Prime factors of 5146 are 2,31,83. Prime factorization of 5146 in exponential form is:

5146 = 21×311×831

∴ So by taking common prime factors GCF of 5142 and 5146 is 2

Greatest Common Factor of 5142 and 5146 by matching factors method

Factors of 5142

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

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

Factors of 5146

List of positive integer factors of 5146 that divides 5146 without a remainder.

1,2,31,62,83,166,2573,5146

Greatest Common Factor

We found the factors and prime factorization of 5142 and 5146. The biggest common factor number is the GCF number.
So the greatest common factor 5142 and 5146 is 2.

Also check out the Least Common Multiple of 5142 and 5146

Properties of GCF 5142 and 5146

(i) The GCF of 5142 and 5146 is associative

GCF of 5142 and 5146 = GCF of 5146 and 5142

Related Greatest Common Factor of 5142

Related Greatest Common Factor of 5146

Frequently Asked Questions on GCF of 5142 and 5146

1. What is the GCF of 5142 and 5146?

Answer: GCF of 5142 and 5146 is 2.

2. 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.

3. What are the Factors of 5146?

Answer: Factors of 5146 are 1, 2, 31, 62, 83, 166, 2573, 5146. There are 8 integers that are factors of 5146. The greatest factor of 5146 is 5146.

4. How to Find the GCF of 5142 and 5146?

Answer:

Greatest Common Factor of 5142 and 5146 = 2

Step 1: Find the prime factorization of 5142

5142 = 2 x 3 x 857

Step 2: Find the prime factorization of 5146

5146 = 2 x 31 x 83

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 5142 and 5146 is 2