Greatest Common Factor of 8738 and 8744

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 8738, 8744 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8738 and 8744 is 2.

GCF(8738,8744) = 2

GCF of 8738 and 8744

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

GCF of:
and

Greatest Common Factor of 8738 and 8744

GCF of 8738 and 8744 is 2

Prime Factorization of 8738


2 8738
17 4369
257 257
1

Prime factors of 8738 are 2,17,257. Prime factorization of 8738 in exponential form is:

8738 = 21×171×2571

Prime Factorization of 8744


2 8744
2 4372
2 2186
1093 1093
1

Prime factors of 8744 are 2,1093. Prime factorization of 8744 in exponential form is:

8744 = 23×10931

∴ So by taking common prime factors GCF of 8738 and 8744 is 2

Greatest Common Factor of 8738 and 8744 by matching factors method

Factors of 8738

List of positive integer factors of 8738 that divides 8738 without a remainder.

1,2,17,34,257,514,4369,8738

Factors of 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors and prime factorization of 8738 and 8744. The biggest common factor number is the GCF number.
So the greatest common factor 8738 and 8744 is 2.

Also check out the Least Common Multiple of 8738 and 8744

Properties of GCF 8738 and 8744

(i) The GCF of 8738 and 8744 is associative

GCF of 8738 and 8744 = GCF of 8744 and 8738

Related Greatest Common Factor of 8738

Related Greatest Common Factor of 8744

Frequently Asked Questions on GCF of 8738 and 8744

1. What is the GCF of 8738 and 8744?

Answer: GCF of 8738 and 8744 is 2.

2. What are the Factors of 8738?

Answer: Factors of 8738 are 1, 2, 17, 34, 257, 514, 4369, 8738. There are 8 integers that are factors of 8738. The greatest factor of 8738 is 8738.

3. What are the Factors of 8744?

Answer: Factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744. There are 8 integers that are factors of 8744. The greatest factor of 8744 is 8744.

4. How to Find the GCF of 8738 and 8744?

Answer:

Greatest Common Factor of 8738 and 8744 = 2

Step 1: Find the prime factorization of 8738

8738 = 2 x 17 x 257

Step 2: Find the prime factorization of 8744

8744 = 2 x 2 x 2 x 1093

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 8738 and 8744 is 2