Greatest Common Factor of 20380 and 20384

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 20380, 20384 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20380 and 20384 is 4.

GCF(20380,20384) = 4

GCF of 20380 and 20384

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

GCF of:
and

Greatest Common Factor of 20380 and 20384

GCF of 20380 and 20384 is 4

Prime Factorization of 20380


2 20380
2 10190
5 5095
1019 1019
1

Prime factors of 20380 are 2,5,1019. Prime factorization of 20380 in exponential form is:

20380 = 22×51×10191

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

∴ So by taking common prime factors GCF of 20380 and 20384 is 4

Greatest Common Factor of 20380 and 20384 by matching factors method

Factors of 20380

List of positive integer factors of 20380 that divides 20380 without a remainder.

1,2,4,5,10,20,1019,2038,4076,5095,10190,20380

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

Greatest Common Factor

We found the factors and prime factorization of 20380 and 20384. The biggest common factor number is the GCF number.
So the greatest common factor 20380 and 20384 is 4.

Also check out the Least Common Multiple of 20380 and 20384

Properties of GCF 20380 and 20384

(i) The GCF of 20380 and 20384 is associative

GCF of 20380 and 20384 = GCF of 20384 and 20380

Related Greatest Common Factor of 20380

Related Greatest Common Factor of 20384

Frequently Asked Questions on GCF of 20380 and 20384

1. What is the GCF of 20380 and 20384?

Answer: GCF of 20380 and 20384 is 4.

2. What are the Factors of 20380?

Answer: Factors of 20380 are 1, 2, 4, 5, 10, 20, 1019, 2038, 4076, 5095, 10190, 20380. There are 12 integers that are factors of 20380. The greatest factor of 20380 is 20380.

3. 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.

4. How to Find the GCF of 20380 and 20384?

Answer:

Greatest Common Factor of 20380 and 20384 = 4

Step 1: Find the prime factorization of 20380

20380 = 2 x 2 x 5 x 1019

Step 2: Find the prime factorization of 20384

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

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 20380 and 20384 is 4