Greatest Common Factor of 20384 and 20390

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 20384, 20390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20384 and 20390 is 2.

GCF(20384,20390) = 2

GCF of 20384 and 20390

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

GCF of:
and

Greatest Common Factor of 20384 and 20390

GCF of 20384 and 20390 is 2

Prime Factorization of 20384


2 20384
2 10192
2 5096
2 2548
2 1274
7 637
7 91
13 13
1

Prime factors of 20384 are 2,7,13. Prime factorization of 20384 in exponential form is:

20384 = 25×72×131

Prime Factorization of 20390


2 20390
5 10195
2039 2039
1

Prime factors of 20390 are 2,5,2039. Prime factorization of 20390 in exponential form is:

20390 = 21×51×20391

∴ So by taking common prime factors GCF of 20384 and 20390 is 2

Greatest Common Factor of 20384 and 20390 by matching factors method

Factors of 20384

List of positive integer factors of 20384 that divides 20384 without a remainder.

1,2,4,7,8,13,14,16,26,28,32,49,52,56,91,98,104,112,182,196,208,224,364,392,416,637,728,784,1274,1456,1568,2548,2912,5096,10192,20384

Factors of 20390

List of positive integer factors of 20390 that divides 20390 without a remainder.

1,2,5,10,2039,4078,10195,20390

Greatest Common Factor

We found the factors and prime factorization of 20384 and 20390. The biggest common factor number is the GCF number.
So the greatest common factor 20384 and 20390 is 2.

Also check out the Least Common Multiple of 20384 and 20390

Properties of GCF 20384 and 20390

(i) The GCF of 20384 and 20390 is associative

GCF of 20384 and 20390 = GCF of 20390 and 20384

Related Greatest Common Factor of 20384

Related Greatest Common Factor of 20390

Frequently Asked Questions on GCF of 20384 and 20390

1. What is the GCF of 20384 and 20390?

Answer: GCF of 20384 and 20390 is 2.

2. What are the Factors of 20384?

Answer: Factors of 20384 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 49, 52, 56, 91, 98, 104, 112, 182, 196, 208, 224, 364, 392, 416, 637, 728, 784, 1274, 1456, 1568, 2548, 2912, 5096, 10192, 20384. There are 36 integers that are factors of 20384. The greatest factor of 20384 is 20384.

3. What are the Factors of 20390?

Answer: Factors of 20390 are 1, 2, 5, 10, 2039, 4078, 10195, 20390. There are 8 integers that are factors of 20390. The greatest factor of 20390 is 20390.

4. How to Find the GCF of 20384 and 20390?

Answer:

Greatest Common Factor of 20384 and 20390 = 2

Step 1: Find the prime factorization of 20384

20384 = 2 x 2 x 2 x 2 x 2 x 7 x 7 x 13

Step 2: Find the prime factorization of 20390

20390 = 2 x 5 x 2039

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 20384 and 20390 is 2