Greatest Common Factor of 5132 and 5140

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, 5140 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5132 and 5140 is 4.

GCF(5132,5140) = 4

GCF of 5132 and 5140

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

GCF of:
and

Greatest Common Factor of 5132 and 5140

GCF of 5132 and 5140 is 4

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 5140


2 5140
2 2570
5 1285
257 257
1

Prime factors of 5140 are 2,5,257. Prime factorization of 5140 in exponential form is:

5140 = 22×51×2571

∴ So by taking common prime factors GCF of 5132 and 5140 is 4

Greatest Common Factor of 5132 and 5140 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 5140

List of positive integer factors of 5140 that divides 5140 without a remainder.

1,2,4,5,10,20,257,514,1028,1285,2570,5140

Greatest Common Factor

We found the factors and prime factorization of 5132 and 5140. The biggest common factor number is the GCF number.
So the greatest common factor 5132 and 5140 is 4.

Also check out the Least Common Multiple of 5132 and 5140

Properties of GCF 5132 and 5140

(i) The GCF of 5132 and 5140 is associative

GCF of 5132 and 5140 = GCF of 5140 and 5132

Related Greatest Common Factor of 5132

Related Greatest Common Factor of 5140

Frequently Asked Questions on GCF of 5132 and 5140

1. What is the GCF of 5132 and 5140?

Answer: GCF of 5132 and 5140 is 4.

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 5140?

Answer: Factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140. There are 12 integers that are factors of 5140. The greatest factor of 5140 is 5140.

4. How to Find the GCF of 5132 and 5140?

Answer:

Greatest Common Factor of 5132 and 5140 = 4

Step 1: Find the prime factorization of 5132

5132 = 2 x 2 x 1283

Step 2: Find the prime factorization of 5140

5140 = 2 x 2 x 5 x 257

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 5132 and 5140 is 4