Greatest Common Factor of 20376 and 20383

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 20376, 20383 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20376 and 20383 is 1.

GCF(20376,20383) = 1

GCF of 20376 and 20383

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

GCF of:
and

Greatest Common Factor of 20376 and 20383

GCF of 20376 and 20383 is 1

Prime Factorization of 20376


2 20376
2 10188
2 5094
3 2547
3 849
283 283
1

Prime factors of 20376 are 2,3,283. Prime factorization of 20376 in exponential form is:

20376 = 23×32×2831

Prime Factorization of 20383


11 20383
17 1853
109 109
1

Prime factors of 20383 are 11,17,109. Prime factorization of 20383 in exponential form is:

20383 = 111×171×1091

∴ So by taking common prime factors GCF of 20376 and 20383 is 1

Greatest Common Factor of 20376 and 20383 by matching factors method

Factors of 20376

List of positive integer factors of 20376 that divides 20376 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,283,566,849,1132,1698,2264,2547,3396,5094,6792,10188,20376

Factors of 20383

List of positive integer factors of 20383 that divides 20383 without a remainder.

1,11,17,109,187,1199,1853,20383

Greatest Common Factor

We found the factors and prime factorization of 20376 and 20383. The biggest common factor number is the GCF number.
So the greatest common factor 20376 and 20383 is 1.

Also check out the Least Common Multiple of 20376 and 20383

Properties of GCF 20376 and 20383

(i) The GCF of 20376 and 20383 is associative

GCF of 20376 and 20383 = GCF of 20383 and 20376

Related Greatest Common Factor of 20376

Related Greatest Common Factor of 20383

Frequently Asked Questions on GCF of 20376 and 20383

1. What is the GCF of 20376 and 20383?

Answer: GCF of 20376 and 20383 is 1.

2. What are the Factors of 20376?

Answer: Factors of 20376 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 283, 566, 849, 1132, 1698, 2264, 2547, 3396, 5094, 6792, 10188, 20376. There are 24 integers that are factors of 20376. The greatest factor of 20376 is 20376.

3. What are the Factors of 20383?

Answer: Factors of 20383 are 1, 11, 17, 109, 187, 1199, 1853, 20383. There are 8 integers that are factors of 20383. The greatest factor of 20383 is 20383.

4. How to Find the GCF of 20376 and 20383?

Answer:

Greatest Common Factor of 20376 and 20383 = 1

Step 1: Find the prime factorization of 20376

20376 = 2 x 2 x 2 x 3 x 3 x 283

Step 2: Find the prime factorization of 20383

20383 = 11 x 17 x 109

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 20376 and 20383 is 1