Greatest Common Factor of 8938 and 8944

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 8938, 8944 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8938 and 8944 is 2.

GCF(8938,8944) = 2

GCF of 8938 and 8944

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

GCF of:
and

Greatest Common Factor of 8938 and 8944

GCF of 8938 and 8944 is 2

Prime Factorization of 8938


2 8938
41 4469
109 109
1

Prime factors of 8938 are 2,41,109. Prime factorization of 8938 in exponential form is:

8938 = 21×411×1091

Prime Factorization of 8944


2 8944
2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 8944 are 2,13,43. Prime factorization of 8944 in exponential form is:

8944 = 24×131×431

∴ So by taking common prime factors GCF of 8938 and 8944 is 2

Greatest Common Factor of 8938 and 8944 by matching factors method

Factors of 8938

List of positive integer factors of 8938 that divides 8938 without a remainder.

1,2,41,82,109,218,4469,8938

Factors of 8944

List of positive integer factors of 8944 that divides 8944 without a remainder.

1,2,4,8,13,16,26,43,52,86,104,172,208,344,559,688,1118,2236,4472,8944

Greatest Common Factor

We found the factors and prime factorization of 8938 and 8944. The biggest common factor number is the GCF number.
So the greatest common factor 8938 and 8944 is 2.

Also check out the Least Common Multiple of 8938 and 8944

Properties of GCF 8938 and 8944

(i) The GCF of 8938 and 8944 is associative

GCF of 8938 and 8944 = GCF of 8944 and 8938

Related Greatest Common Factor of 8938

Related Greatest Common Factor of 8944

Frequently Asked Questions on GCF of 8938 and 8944

1. What is the GCF of 8938 and 8944?

Answer: GCF of 8938 and 8944 is 2.

2. What are the Factors of 8938?

Answer: Factors of 8938 are 1, 2, 41, 82, 109, 218, 4469, 8938. There are 8 integers that are factors of 8938. The greatest factor of 8938 is 8938.

3. What are the Factors of 8944?

Answer: Factors of 8944 are 1, 2, 4, 8, 13, 16, 26, 43, 52, 86, 104, 172, 208, 344, 559, 688, 1118, 2236, 4472, 8944. There are 20 integers that are factors of 8944. The greatest factor of 8944 is 8944.

4. How to Find the GCF of 8938 and 8944?

Answer:

Greatest Common Factor of 8938 and 8944 = 2

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8944

8944 = 2 x 2 x 2 x 2 x 13 x 43

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 8938 and 8944 is 2