Greatest Common Factor of 8938 and 8942

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, 8942 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8938 and 8942 is 2.

GCF(8938,8942) = 2

GCF of 8938 and 8942

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

GCF of:
and

Greatest Common Factor of 8938 and 8942

GCF of 8938 and 8942 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 8942


2 8942
17 4471
263 263
1

Prime factors of 8942 are 2,17,263. Prime factorization of 8942 in exponential form is:

8942 = 21×171×2631

∴ So by taking common prime factors GCF of 8938 and 8942 is 2

Greatest Common Factor of 8938 and 8942 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 8942

List of positive integer factors of 8942 that divides 8942 without a remainder.

1,2,17,34,263,526,4471,8942

Greatest Common Factor

We found the factors and prime factorization of 8938 and 8942. The biggest common factor number is the GCF number.
So the greatest common factor 8938 and 8942 is 2.

Also check out the Least Common Multiple of 8938 and 8942

Properties of GCF 8938 and 8942

(i) The GCF of 8938 and 8942 is associative

GCF of 8938 and 8942 = GCF of 8942 and 8938

Related Greatest Common Factor of 8938

Related Greatest Common Factor of 8942

Frequently Asked Questions on GCF of 8938 and 8942

1. What is the GCF of 8938 and 8942?

Answer: GCF of 8938 and 8942 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 8942?

Answer: Factors of 8942 are 1, 2, 17, 34, 263, 526, 4471, 8942. There are 8 integers that are factors of 8942. The greatest factor of 8942 is 8942.

4. How to Find the GCF of 8938 and 8942?

Answer:

Greatest Common Factor of 8938 and 8942 = 2

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8942

8942 = 2 x 17 x 263

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 8942 is 2