Greatest Common Factor of 5136 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 5136, 5140 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5136 and 5140 is 4.

GCF(5136,5140) = 4

GCF of 5136 and 5140

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

GCF of:
and

Greatest Common Factor of 5136 and 5140

GCF of 5136 and 5140 is 4

Prime Factorization of 5136


2 5136
2 2568
2 1284
2 642
3 321
107 107
1

Prime factors of 5136 are 2,3,107. Prime factorization of 5136 in exponential form is:

5136 = 24×31×1071

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 5136 and 5140 is 4

Greatest Common Factor of 5136 and 5140 by matching factors method

Factors of 5136

List of positive integer factors of 5136 that divides 5136 without a remainder.

1,2,3,4,6,8,12,16,24,48,107,214,321,428,642,856,1284,1712,2568,5136

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 5136 and 5140. The biggest common factor number is the GCF number.
So the greatest common factor 5136 and 5140 is 4.

Also check out the Least Common Multiple of 5136 and 5140

Properties of GCF 5136 and 5140

(i) The GCF of 5136 and 5140 is associative

GCF of 5136 and 5140 = GCF of 5140 and 5136

Related Greatest Common Factor of 5136

Related Greatest Common Factor of 5140

Frequently Asked Questions on GCF of 5136 and 5140

1. What is the GCF of 5136 and 5140?

Answer: GCF of 5136 and 5140 is 4.

2. What are the Factors of 5136?

Answer: Factors of 5136 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 107, 214, 321, 428, 642, 856, 1284, 1712, 2568, 5136. There are 20 integers that are factors of 5136. The greatest factor of 5136 is 5136.

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 5136 and 5140?

Answer:

Greatest Common Factor of 5136 and 5140 = 4

Step 1: Find the prime factorization of 5136

5136 = 2 x 2 x 2 x 2 x 3 x 107

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 5136 and 5140 is 4