Greatest Common Factor of 5135 and 5138

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 5135, 5138 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5135 and 5138 is 1.

GCF(5135,5138) = 1

GCF of 5135 and 5138

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

GCF of:
and

Greatest Common Factor of 5135 and 5138

GCF of 5135 and 5138 is 1

Prime Factorization of 5135


5 5135
13 1027
79 79
1

Prime factors of 5135 are 5,13,79. Prime factorization of 5135 in exponential form is:

5135 = 51×131×791

Prime Factorization of 5138


2 5138
7 2569
367 367
1

Prime factors of 5138 are 2,7,367. Prime factorization of 5138 in exponential form is:

5138 = 21×71×3671

∴ So by taking common prime factors GCF of 5135 and 5138 is 1

Greatest Common Factor of 5135 and 5138 by matching factors method

Factors of 5135

List of positive integer factors of 5135 that divides 5135 without a remainder.

1,5,13,65,79,395,1027,5135

Factors of 5138

List of positive integer factors of 5138 that divides 5138 without a remainder.

1,2,7,14,367,734,2569,5138

Greatest Common Factor

We found the factors and prime factorization of 5135 and 5138. The biggest common factor number is the GCF number.
So the greatest common factor 5135 and 5138 is 1.

Also check out the Least Common Multiple of 5135 and 5138

Properties of GCF 5135 and 5138

(i) The GCF of 5135 and 5138 is associative

GCF of 5135 and 5138 = GCF of 5138 and 5135

Related Greatest Common Factor of 5135

Related Greatest Common Factor of 5138

Frequently Asked Questions on GCF of 5135 and 5138

1. What is the GCF of 5135 and 5138?

Answer: GCF of 5135 and 5138 is 1.

2. What are the Factors of 5135?

Answer: Factors of 5135 are 1, 5, 13, 65, 79, 395, 1027, 5135. There are 8 integers that are factors of 5135. The greatest factor of 5135 is 5135.

3. What are the Factors of 5138?

Answer: Factors of 5138 are 1, 2, 7, 14, 367, 734, 2569, 5138. There are 8 integers that are factors of 5138. The greatest factor of 5138 is 5138.

4. How to Find the GCF of 5135 and 5138?

Answer:

Greatest Common Factor of 5135 and 5138 = 1

Step 1: Find the prime factorization of 5135

5135 = 5 x 13 x 79

Step 2: Find the prime factorization of 5138

5138 = 2 x 7 x 367

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5135 and 5138 is 1