Greatest Common Factor of 9438 and 9446

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 9438, 9446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9438 and 9446 is 2.

GCF(9438,9446) = 2

GCF of 9438 and 9446

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

GCF of:
and

Greatest Common Factor of 9438 and 9446

GCF of 9438 and 9446 is 2

Prime Factorization of 9438


2 9438
3 4719
11 1573
11 143
13 13
1

Prime factors of 9438 are 2,3,11,13. Prime factorization of 9438 in exponential form is:

9438 = 21×31×112×131

Prime Factorization of 9446


2 9446
4723 4723
1

Prime factors of 9446 are 2,4723. Prime factorization of 9446 in exponential form is:

9446 = 21×47231

∴ So by taking common prime factors GCF of 9438 and 9446 is 2

Greatest Common Factor of 9438 and 9446 by matching factors method

Factors of 9438

List of positive integer factors of 9438 that divides 9438 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438

Factors of 9446

List of positive integer factors of 9446 that divides 9446 without a remainder.

1,2,4723,9446

Greatest Common Factor

We found the factors and prime factorization of 9438 and 9446. The biggest common factor number is the GCF number.
So the greatest common factor 9438 and 9446 is 2.

Also check out the Least Common Multiple of 9438 and 9446

Properties of GCF 9438 and 9446

(i) The GCF of 9438 and 9446 is associative

GCF of 9438 and 9446 = GCF of 9446 and 9438

Related Greatest Common Factor of 9438

Related Greatest Common Factor of 9446

Frequently Asked Questions on GCF of 9438 and 9446

1. What is the GCF of 9438 and 9446?

Answer: GCF of 9438 and 9446 is 2.

2. What are the Factors of 9438?

Answer: Factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438. There are 24 integers that are factors of 9438. The greatest factor of 9438 is 9438.

3. What are the Factors of 9446?

Answer: Factors of 9446 are 1, 2, 4723, 9446. There are 4 integers that are factors of 9446. The greatest factor of 9446 is 9446.

4. How to Find the GCF of 9438 and 9446?

Answer:

Greatest Common Factor of 9438 and 9446 = 2

Step 1: Find the prime factorization of 9438

9438 = 2 x 3 x 11 x 11 x 13

Step 2: Find the prime factorization of 9446

9446 = 2 x 4723

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 9438 and 9446 is 2