Greatest Common Factor of 5142 and 5145

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, 5145 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5142 and 5145 is 3.

GCF(5142,5145) = 3

GCF of 5142 and 5145

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

GCF of:
and

Greatest Common Factor of 5142 and 5145

GCF of 5142 and 5145 is 3

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 5145


3 5145
5 1715
7 343
7 49
7 7
1

Prime factors of 5145 are 3,5,7. Prime factorization of 5145 in exponential form is:

5145 = 31×51×73

∴ So by taking common prime factors GCF of 5142 and 5145 is 3

Greatest Common Factor of 5142 and 5145 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 5145

List of positive integer factors of 5145 that divides 5145 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145

Greatest Common Factor

We found the factors and prime factorization of 5142 and 5145. The biggest common factor number is the GCF number.
So the greatest common factor 5142 and 5145 is 3.

Also check out the Least Common Multiple of 5142 and 5145

Properties of GCF 5142 and 5145

(i) The GCF of 5142 and 5145 is associative

GCF of 5142 and 5145 = GCF of 5145 and 5142

Related Greatest Common Factor of 5142

Related Greatest Common Factor of 5145

Frequently Asked Questions on GCF of 5142 and 5145

1. What is the GCF of 5142 and 5145?

Answer: GCF of 5142 and 5145 is 3.

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 5145?

Answer: Factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145. There are 16 integers that are factors of 5145. The greatest factor of 5145 is 5145.

4. How to Find the GCF of 5142 and 5145?

Answer:

Greatest Common Factor of 5142 and 5145 = 3

Step 1: Find the prime factorization of 5142

5142 = 2 x 3 x 857

Step 2: Find the prime factorization of 5145

5145 = 3 x 5 x 7 x 7 x 7

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 5142 and 5145 is 3