Greatest Common Factor of 10433 and 10438

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 10433, 10438 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10433 and 10438 is 1.

GCF(10433,10438) = 1

GCF of 10433 and 10438

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

GCF of:
and

Greatest Common Factor of 10433 and 10438

GCF of 10433 and 10438 is 1

Prime Factorization of 10433


10433 10433
1

Prime factors of 10433 are 10433. Prime factorization of 10433 in exponential form is:

10433 = 104331

Prime Factorization of 10438


2 10438
17 5219
307 307
1

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

10438 = 21×171×3071

∴ So by taking common prime factors GCF of 10433 and 10438 is 1

Greatest Common Factor of 10433 and 10438 by matching factors method

Factors of 10433

List of positive integer factors of 10433 that divides 10433 without a remainder.

1,10433

Factors of 10438

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

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

Greatest Common Factor

We found the factors and prime factorization of 10433 and 10438. The biggest common factor number is the GCF number.
So the greatest common factor 10433 and 10438 is 1.

Also check out the Least Common Multiple of 10433 and 10438

Properties of GCF 10433 and 10438

(i) The GCF of 10433 and 10438 is associative

GCF of 10433 and 10438 = GCF of 10438 and 10433

Frequently Asked Questions on GCF of 10433 and 10438

1. What is the GCF of 10433 and 10438?

Answer: GCF of 10433 and 10438 is 1.

2. What are the Factors of 10433?

Answer: Factors of 10433 are 1, 10433. There are 2 integers that are factors of 10433. The greatest factor of 10433 is 10433.

3. 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.

4. How to Find the GCF of 10433 and 10438?

Answer:

Greatest Common Factor of 10433 and 10438 = 1

Step 1: Find the prime factorization of 10433

10433 = 10433

Step 2: Find the prime factorization of 10438

10438 = 2 x 17 x 307

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 10433 and 10438 is 1