Greatest Common Factor of 20369 and 20376

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 20369, 20376 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20369 and 20376 is 1.

GCF(20369,20376) = 1

GCF of 20369 and 20376

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

GCF of:
and

Greatest Common Factor of 20369 and 20376

GCF of 20369 and 20376 is 1

Prime Factorization of 20369


20369 20369
1

Prime factors of 20369 are 20369. Prime factorization of 20369 in exponential form is:

20369 = 203691

Prime Factorization of 20376


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

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

20376 = 23×32×2831

∴ So by taking common prime factors GCF of 20369 and 20376 is 1

Greatest Common Factor of 20369 and 20376 by matching factors method

Factors of 20369

List of positive integer factors of 20369 that divides 20369 without a remainder.

1,20369

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

Greatest Common Factor

We found the factors and prime factorization of 20369 and 20376. The biggest common factor number is the GCF number.
So the greatest common factor 20369 and 20376 is 1.

Also check out the Least Common Multiple of 20369 and 20376

Properties of GCF 20369 and 20376

(i) The GCF of 20369 and 20376 is associative

GCF of 20369 and 20376 = GCF of 20376 and 20369

Frequently Asked Questions on GCF of 20369 and 20376

1. What is the GCF of 20369 and 20376?

Answer: GCF of 20369 and 20376 is 1.

2. What are the Factors of 20369?

Answer: Factors of 20369 are 1, 20369. There are 2 integers that are factors of 20369. The greatest factor of 20369 is 20369.

3. 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.

4. How to Find the GCF of 20369 and 20376?

Answer:

Greatest Common Factor of 20369 and 20376 = 1

Step 1: Find the prime factorization of 20369

20369 = 20369

Step 2: Find the prime factorization of 20376

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

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 20369 and 20376 is 1