Greatest Common Factor of 10438 and 10444

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 10438, 10444 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10438 and 10444 is 2.

GCF(10438,10444) = 2

GCF of 10438 and 10444

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

GCF of:
and

Greatest Common Factor of 10438 and 10444

GCF of 10438 and 10444 is 2

Prime Factorization of 10438


2 10438
17 5219
307 307
1

Prime factors of 10438 are 2,17,307. Prime factorization of 10438 in exponential form is:

10438 = 21×171×3071

Prime Factorization of 10444


2 10444
2 5222
7 2611
373 373
1

Prime factors of 10444 are 2,7,373. Prime factorization of 10444 in exponential form is:

10444 = 22×71×3731

∴ So by taking common prime factors GCF of 10438 and 10444 is 2

Greatest Common Factor of 10438 and 10444 by matching factors method

Factors of 10438

List of positive integer factors of 10438 that divides 10438 without a remainder.

1,2,17,34,307,614,5219,10438

Factors of 10444

List of positive integer factors of 10444 that divides 10444 without a remainder.

1,2,4,7,14,28,373,746,1492,2611,5222,10444

Greatest Common Factor

We found the factors and prime factorization of 10438 and 10444. The biggest common factor number is the GCF number.
So the greatest common factor 10438 and 10444 is 2.

Also check out the Least Common Multiple of 10438 and 10444

Properties of GCF 10438 and 10444

(i) The GCF of 10438 and 10444 is associative

GCF of 10438 and 10444 = GCF of 10444 and 10438

Related Greatest Common Factor of 10438

Related Greatest Common Factor of 10444

Frequently Asked Questions on GCF of 10438 and 10444

1. What is the GCF of 10438 and 10444?

Answer: GCF of 10438 and 10444 is 2.

2. What are the Factors of 10438?

Answer: Factors of 10438 are 1, 2, 17, 34, 307, 614, 5219, 10438. There are 8 integers that are factors of 10438. The greatest factor of 10438 is 10438.

3. What are the Factors of 10444?

Answer: Factors of 10444 are 1, 2, 4, 7, 14, 28, 373, 746, 1492, 2611, 5222, 10444. There are 12 integers that are factors of 10444. The greatest factor of 10444 is 10444.

4. How to Find the GCF of 10438 and 10444?

Answer:

Greatest Common Factor of 10438 and 10444 = 2

Step 1: Find the prime factorization of 10438

10438 = 2 x 17 x 307

Step 2: Find the prime factorization of 10444

10444 = 2 x 2 x 7 x 373

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 10438 and 10444 is 2