Greatest Common Factor of 20436 and 20444

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 20436, 20444 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20436 and 20444 is 4.

GCF(20436,20444) = 4

GCF of 20436 and 20444

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

GCF of:
and

Greatest Common Factor of 20436 and 20444

GCF of 20436 and 20444 is 4

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

Prime Factorization of 20444


2 20444
2 10222
19 5111
269 269
1

Prime factors of 20444 are 2,19,269. Prime factorization of 20444 in exponential form is:

20444 = 22×191×2691

∴ So by taking common prime factors GCF of 20436 and 20444 is 4

Greatest Common Factor of 20436 and 20444 by matching factors method

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

Factors of 20444

List of positive integer factors of 20444 that divides 20444 without a remainder.

1,2,4,19,38,76,269,538,1076,5111,10222,20444

Greatest Common Factor

We found the factors and prime factorization of 20436 and 20444. The biggest common factor number is the GCF number.
So the greatest common factor 20436 and 20444 is 4.

Also check out the Least Common Multiple of 20436 and 20444

Properties of GCF 20436 and 20444

(i) The GCF of 20436 and 20444 is associative

GCF of 20436 and 20444 = GCF of 20444 and 20436

Related Greatest Common Factor of 20436

Related Greatest Common Factor of 20444

Frequently Asked Questions on GCF of 20436 and 20444

1. What is the GCF of 20436 and 20444?

Answer: GCF of 20436 and 20444 is 4.

2. 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.

3. What are the Factors of 20444?

Answer: Factors of 20444 are 1, 2, 4, 19, 38, 76, 269, 538, 1076, 5111, 10222, 20444. There are 12 integers that are factors of 20444. The greatest factor of 20444 is 20444.

4. How to Find the GCF of 20436 and 20444?

Answer:

Greatest Common Factor of 20436 and 20444 = 4

Step 1: Find the prime factorization of 20436

20436 = 2 x 2 x 3 x 13 x 131

Step 2: Find the prime factorization of 20444

20444 = 2 x 2 x 19 x 269

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 20436 and 20444 is 4