Greatest Common Factor of 9438 and 9445

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, 9445 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9438 and 9445 is 1.

GCF(9438,9445) = 1

GCF of 9438 and 9445

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

GCF of:
and

Greatest Common Factor of 9438 and 9445

GCF of 9438 and 9445 is 1

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 9445


5 9445
1889 1889
1

Prime factors of 9445 are 5,1889. Prime factorization of 9445 in exponential form is:

9445 = 51×18891

∴ So by taking common prime factors GCF of 9438 and 9445 is 1

Greatest Common Factor of 9438 and 9445 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 9445

List of positive integer factors of 9445 that divides 9445 without a remainder.

1,5,1889,9445

Greatest Common Factor

We found the factors and prime factorization of 9438 and 9445. The biggest common factor number is the GCF number.
So the greatest common factor 9438 and 9445 is 1.

Also check out the Least Common Multiple of 9438 and 9445

Properties of GCF 9438 and 9445

(i) The GCF of 9438 and 9445 is associative

GCF of 9438 and 9445 = GCF of 9445 and 9438

Frequently Asked Questions on GCF of 9438 and 9445

1. What is the GCF of 9438 and 9445?

Answer: GCF of 9438 and 9445 is 1.

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 9445?

Answer: Factors of 9445 are 1, 5, 1889, 9445. There are 4 integers that are factors of 9445. The greatest factor of 9445 is 9445.

4. How to Find the GCF of 9438 and 9445?

Answer:

Greatest Common Factor of 9438 and 9445 = 1

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 9445

9445 = 5 x 1889

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 9438 and 9445 is 1