Greatest Common Factor of 8932 and 8938

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 8932, 8938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8932 and 8938 is 2.

GCF(8932,8938) = 2

GCF of 8932 and 8938

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

GCF of:
and

Greatest Common Factor of 8932 and 8938

GCF of 8932 and 8938 is 2

Prime Factorization of 8932


2 8932
2 4466
7 2233
11 319
29 29
1

Prime factors of 8932 are 2,7,11,29. Prime factorization of 8932 in exponential form is:

8932 = 22×71×111×291

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

∴ So by taking common prime factors GCF of 8932 and 8938 is 2

Greatest Common Factor of 8932 and 8938 by matching factors method

Factors of 8932

List of positive integer factors of 8932 that divides 8932 without a remainder.

1,2,4,7,11,14,22,28,29,44,58,77,116,154,203,308,319,406,638,812,1276,2233,4466,8932

Factors of 8938

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

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

Greatest Common Factor

We found the factors and prime factorization of 8932 and 8938. The biggest common factor number is the GCF number.
So the greatest common factor 8932 and 8938 is 2.

Also check out the Least Common Multiple of 8932 and 8938

Properties of GCF 8932 and 8938

(i) The GCF of 8932 and 8938 is associative

GCF of 8932 and 8938 = GCF of 8938 and 8932

Related Greatest Common Factor of 8932

Related Greatest Common Factor of 8938

Frequently Asked Questions on GCF of 8932 and 8938

1. What is the GCF of 8932 and 8938?

Answer: GCF of 8932 and 8938 is 2.

2. What are the Factors of 8932?

Answer: Factors of 8932 are 1, 2, 4, 7, 11, 14, 22, 28, 29, 44, 58, 77, 116, 154, 203, 308, 319, 406, 638, 812, 1276, 2233, 4466, 8932. There are 24 integers that are factors of 8932. The greatest factor of 8932 is 8932.

3. 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.

4. How to Find the GCF of 8932 and 8938?

Answer:

Greatest Common Factor of 8932 and 8938 = 2

Step 1: Find the prime factorization of 8932

8932 = 2 x 2 x 7 x 11 x 29

Step 2: Find the prime factorization of 8938

8938 = 2 x 41 x 109

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 8932 and 8938 is 2