Greatest Common Factor of 5134 and 5136

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 5134, 5136 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5134 and 5136 is 2.

GCF(5134,5136) = 2

GCF of 5134 and 5136

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

GCF of:
and

Greatest Common Factor of 5134 and 5136

GCF of 5134 and 5136 is 2

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

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

∴ So by taking common prime factors GCF of 5134 and 5136 is 2

Greatest Common Factor of 5134 and 5136 by matching factors method

Factors of 5134

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

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

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

Greatest Common Factor

We found the factors and prime factorization of 5134 and 5136. The biggest common factor number is the GCF number.
So the greatest common factor 5134 and 5136 is 2.

Also check out the Least Common Multiple of 5134 and 5136

Properties of GCF 5134 and 5136

(i) The GCF of 5134 and 5136 is associative

GCF of 5134 and 5136 = GCF of 5136 and 5134

Related Greatest Common Factor of 5134

Related Greatest Common Factor of 5136

Frequently Asked Questions on GCF of 5134 and 5136

1. What is the GCF of 5134 and 5136?

Answer: GCF of 5134 and 5136 is 2.

2. 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.

3. 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.

4. How to Find the GCF of 5134 and 5136?

Answer:

Greatest Common Factor of 5134 and 5136 = 2

Step 1: Find the prime factorization of 5134

5134 = 2 x 17 x 151

Step 2: Find the prime factorization of 5136

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

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 5134 and 5136 is 2