Greatest Common Factor of 20433 and 20436

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, 20436 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20433 and 20436 is 3.

GCF(20433,20436) = 3

GCF of 20433 and 20436

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

GCF of:
and

Greatest Common Factor of 20433 and 20436

GCF of 20433 and 20436 is 3

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 20436


2 20436
2 10218
3 5109
13 1703
131 131
1

Prime factors of 20436 are 2,3,13,131. Prime factorization of 20436 in exponential form is:

20436 = 22×31×131×1311

∴ So by taking common prime factors GCF of 20433 and 20436 is 3

Greatest Common Factor of 20433 and 20436 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 20436

List of positive integer factors of 20436 that divides 20436 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,131,156,262,393,524,786,1572,1703,3406,5109,6812,10218,20436

Greatest Common Factor

We found the factors and prime factorization of 20433 and 20436. The biggest common factor number is the GCF number.
So the greatest common factor 20433 and 20436 is 3.

Also check out the Least Common Multiple of 20433 and 20436

Properties of GCF 20433 and 20436

(i) The GCF of 20433 and 20436 is associative

GCF of 20433 and 20436 = GCF of 20436 and 20433

Related Greatest Common Factor of 20433

Related Greatest Common Factor of 20436

Frequently Asked Questions on GCF of 20433 and 20436

1. What is the GCF of 20433 and 20436?

Answer: GCF of 20433 and 20436 is 3.

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 20436?

Answer: Factors of 20436 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 131, 156, 262, 393, 524, 786, 1572, 1703, 3406, 5109, 6812, 10218, 20436. There are 24 integers that are factors of 20436. The greatest factor of 20436 is 20436.

4. How to Find the GCF of 20433 and 20436?

Answer:

Greatest Common Factor of 20433 and 20436 = 3

Step 1: Find the prime factorization of 20433

20433 = 3 x 7 x 7 x 139

Step 2: Find the prime factorization of 20436

20436 = 2 x 2 x 3 x 13 x 131

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

GCF = 3

Step 4: Therefore, the greatest common factor of 20433 and 20436 is 3