Greatest Common Factor of 5136 and 5139

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, 5139 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5136 and 5139 is 3.

GCF(5136,5139) = 3

GCF of 5136 and 5139

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

GCF of:
and

Greatest Common Factor of 5136 and 5139

GCF of 5136 and 5139 is 3

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 5139


3 5139
3 1713
571 571
1

Prime factors of 5139 are 3,571. Prime factorization of 5139 in exponential form is:

5139 = 32×5711

∴ So by taking common prime factors GCF of 5136 and 5139 is 3

Greatest Common Factor of 5136 and 5139 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 5139

List of positive integer factors of 5139 that divides 5139 without a remainder.

1,3,9,571,1713,5139

Greatest Common Factor

We found the factors and prime factorization of 5136 and 5139. The biggest common factor number is the GCF number.
So the greatest common factor 5136 and 5139 is 3.

Also check out the Least Common Multiple of 5136 and 5139

Properties of GCF 5136 and 5139

(i) The GCF of 5136 and 5139 is associative

GCF of 5136 and 5139 = GCF of 5139 and 5136

Related Greatest Common Factor of 5136

Related Greatest Common Factor of 5139

Frequently Asked Questions on GCF of 5136 and 5139

1. What is the GCF of 5136 and 5139?

Answer: GCF of 5136 and 5139 is 3.

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 5139?

Answer: Factors of 5139 are 1, 3, 9, 571, 1713, 5139. There are 6 integers that are factors of 5139. The greatest factor of 5139 is 5139.

4. How to Find the GCF of 5136 and 5139?

Answer:

Greatest Common Factor of 5136 and 5139 = 3

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 5139

5139 = 3 x 3 x 571

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 5136 and 5139 is 3