Greatest Common Factor of 20376 and 20382

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, 20382 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20376 and 20382 is 6.

GCF(20376,20382) = 6

GCF of 20376 and 20382

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

GCF of:
and

Greatest Common Factor of 20376 and 20382

GCF of 20376 and 20382 is 6

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 20382


2 20382
3 10191
43 3397
79 79
1

Prime factors of 20382 are 2,3,43,79. Prime factorization of 20382 in exponential form is:

20382 = 21×31×431×791

∴ So by taking common prime factors GCF of 20376 and 20382 is 6

Greatest Common Factor of 20376 and 20382 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 20382

List of positive integer factors of 20382 that divides 20382 without a remainder.

1,2,3,6,43,79,86,129,158,237,258,474,3397,6794,10191,20382

Greatest Common Factor

We found the factors and prime factorization of 20376 and 20382. The biggest common factor number is the GCF number.
So the greatest common factor 20376 and 20382 is 6.

Also check out the Least Common Multiple of 20376 and 20382

Properties of GCF 20376 and 20382

(i) The GCF of 20376 and 20382 is associative

GCF of 20376 and 20382 = GCF of 20382 and 20376

Related Greatest Common Factor of 20376

Related Greatest Common Factor of 20382

Frequently Asked Questions on GCF of 20376 and 20382

1. What is the GCF of 20376 and 20382?

Answer: GCF of 20376 and 20382 is 6.

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 20382?

Answer: Factors of 20382 are 1, 2, 3, 6, 43, 79, 86, 129, 158, 237, 258, 474, 3397, 6794, 10191, 20382. There are 16 integers that are factors of 20382. The greatest factor of 20382 is 20382.

4. How to Find the GCF of 20376 and 20382?

Answer:

Greatest Common Factor of 20376 and 20382 = 6

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 20382

20382 = 2 x 3 x 43 x 79

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 20376 and 20382 is 6