Greatest Common Factor of 20433 and 20438

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 20433, 20438 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20433 and 20438 is 1.

GCF(20433,20438) = 1

GCF of 20433 and 20438

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

GCF of:
and

Greatest Common Factor of 20433 and 20438

GCF of 20433 and 20438 is 1

Prime Factorization of 20433


3 20433
7 6811
7 973
139 139
1

Prime factors of 20433 are 3,7,139. Prime factorization of 20433 in exponential form is:

20433 = 31×72×1391

Prime Factorization of 20438


2 20438
11 10219
929 929
1

Prime factors of 20438 are 2,11,929. Prime factorization of 20438 in exponential form is:

20438 = 21×111×9291

∴ So by taking common prime factors GCF of 20433 and 20438 is 1

Greatest Common Factor of 20433 and 20438 by matching factors method

Factors of 20433

List of positive integer factors of 20433 that divides 20433 without a remainder.

1,3,7,21,49,139,147,417,973,2919,6811,20433

Factors of 20438

List of positive integer factors of 20438 that divides 20438 without a remainder.

1,2,11,22,929,1858,10219,20438

Greatest Common Factor

We found the factors and prime factorization of 20433 and 20438. The biggest common factor number is the GCF number.
So the greatest common factor 20433 and 20438 is 1.

Also check out the Least Common Multiple of 20433 and 20438

Properties of GCF 20433 and 20438

(i) The GCF of 20433 and 20438 is associative

GCF of 20433 and 20438 = GCF of 20438 and 20433

Frequently Asked Questions on GCF of 20433 and 20438

1. What is the GCF of 20433 and 20438?

Answer: GCF of 20433 and 20438 is 1.

2. What are the Factors of 20433?

Answer: Factors of 20433 are 1, 3, 7, 21, 49, 139, 147, 417, 973, 2919, 6811, 20433. There are 12 integers that are factors of 20433. The greatest factor of 20433 is 20433.

3. What are the Factors of 20438?

Answer: Factors of 20438 are 1, 2, 11, 22, 929, 1858, 10219, 20438. There are 8 integers that are factors of 20438. The greatest factor of 20438 is 20438.

4. How to Find the GCF of 20433 and 20438?

Answer:

Greatest Common Factor of 20433 and 20438 = 1

Step 1: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

Step 2: Find the prime factorization of 20438

20438 = 2 x 11 x 929

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 20433 and 20438 is 1