Greatest Common Factor of 5132 and 5134

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 5132, 5134 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5132 and 5134 is 2.

GCF(5132,5134) = 2

GCF of 5132 and 5134

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

GCF of:
and

Greatest Common Factor of 5132 and 5134

GCF of 5132 and 5134 is 2

Prime Factorization of 5132


2 5132
2 2566
1283 1283
1

Prime factors of 5132 are 2,1283. Prime factorization of 5132 in exponential form is:

5132 = 22×12831

Prime Factorization of 5134


2 5134
17 2567
151 151
1

Prime factors of 5134 are 2,17,151. Prime factorization of 5134 in exponential form is:

5134 = 21×171×1511

∴ So by taking common prime factors GCF of 5132 and 5134 is 2

Greatest Common Factor of 5132 and 5134 by matching factors method

Factors of 5132

List of positive integer factors of 5132 that divides 5132 without a remainder.

1,2,4,1283,2566,5132

Factors of 5134

List of positive integer factors of 5134 that divides 5134 without a remainder.

1,2,17,34,151,302,2567,5134

Greatest Common Factor

We found the factors and prime factorization of 5132 and 5134. The biggest common factor number is the GCF number.
So the greatest common factor 5132 and 5134 is 2.

Also check out the Least Common Multiple of 5132 and 5134

Properties of GCF 5132 and 5134

(i) The GCF of 5132 and 5134 is associative

GCF of 5132 and 5134 = GCF of 5134 and 5132

Related Greatest Common Factor of 5132

Related Greatest Common Factor of 5134

Frequently Asked Questions on GCF of 5132 and 5134

1. What is the GCF of 5132 and 5134?

Answer: GCF of 5132 and 5134 is 2.

2. What are the Factors of 5132?

Answer: Factors of 5132 are 1, 2, 4, 1283, 2566, 5132. There are 6 integers that are factors of 5132. The greatest factor of 5132 is 5132.

3. What are the Factors of 5134?

Answer: Factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134. There are 8 integers that are factors of 5134. The greatest factor of 5134 is 5134.

4. How to Find the GCF of 5132 and 5134?

Answer:

Greatest Common Factor of 5132 and 5134 = 2

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

Step 2: Find the prime factorization of 5134

5134 = 2 x 17 x 151

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 5132 and 5134 is 2