Greatest Common Factor of 5138 and 5144

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 5138, 5144 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5138 and 5144 is 2.

GCF(5138,5144) = 2

GCF of 5138 and 5144

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

GCF of:
and

Greatest Common Factor of 5138 and 5144

GCF of 5138 and 5144 is 2

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

Prime Factorization of 5144


2 5144
2 2572
2 1286
643 643
1

Prime factors of 5144 are 2,643. Prime factorization of 5144 in exponential form is:

5144 = 23×6431

∴ So by taking common prime factors GCF of 5138 and 5144 is 2

Greatest Common Factor of 5138 and 5144 by matching factors method

Factors of 5138

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

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

Factors of 5144

List of positive integer factors of 5144 that divides 5144 without a remainder.

1,2,4,8,643,1286,2572,5144

Greatest Common Factor

We found the factors and prime factorization of 5138 and 5144. The biggest common factor number is the GCF number.
So the greatest common factor 5138 and 5144 is 2.

Also check out the Least Common Multiple of 5138 and 5144

Properties of GCF 5138 and 5144

(i) The GCF of 5138 and 5144 is associative

GCF of 5138 and 5144 = GCF of 5144 and 5138

Related Greatest Common Factor of 5138

Related Greatest Common Factor of 5144

Frequently Asked Questions on GCF of 5138 and 5144

1. What is the GCF of 5138 and 5144?

Answer: GCF of 5138 and 5144 is 2.

2. 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.

3. What are the Factors of 5144?

Answer: Factors of 5144 are 1, 2, 4, 8, 643, 1286, 2572, 5144. There are 8 integers that are factors of 5144. The greatest factor of 5144 is 5144.

4. How to Find the GCF of 5138 and 5144?

Answer:

Greatest Common Factor of 5138 and 5144 = 2

Step 1: Find the prime factorization of 5138

5138 = 2 x 7 x 367

Step 2: Find the prime factorization of 5144

5144 = 2 x 2 x 2 x 643

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 5138 and 5144 is 2