Greatest Common Factor of 8938 and 8946

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, 8946 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8938 and 8946 is 2.

GCF(8938,8946) = 2

GCF of 8938 and 8946

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

GCF of:
and

Greatest Common Factor of 8938 and 8946

GCF of 8938 and 8946 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 8946


2 8946
3 4473
3 1491
7 497
71 71
1

Prime factors of 8946 are 2,3,7,71. Prime factorization of 8946 in exponential form is:

8946 = 21×32×71×711

∴ So by taking common prime factors GCF of 8938 and 8946 is 2

Greatest Common Factor of 8938 and 8946 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 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Greatest Common Factor

We found the factors and prime factorization of 8938 and 8946. The biggest common factor number is the GCF number.
So the greatest common factor 8938 and 8946 is 2.

Also check out the Least Common Multiple of 8938 and 8946

Properties of GCF 8938 and 8946

(i) The GCF of 8938 and 8946 is associative

GCF of 8938 and 8946 = GCF of 8946 and 8938

Related Greatest Common Factor of 8938

Related Greatest Common Factor of 8946

Frequently Asked Questions on GCF of 8938 and 8946

1. What is the GCF of 8938 and 8946?

Answer: GCF of 8938 and 8946 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 8946?

Answer: Factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946. There are 24 integers that are factors of 8946. The greatest factor of 8946 is 8946.

4. How to Find the GCF of 8938 and 8946?

Answer:

Greatest Common Factor of 8938 and 8946 = 2

Step 1: Find the prime factorization of 8938

8938 = 2 x 41 x 109

Step 2: Find the prime factorization of 8946

8946 = 2 x 3 x 3 x 7 x 71

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 8946 is 2