Greatest Common Factor of 20382 and 20387

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 20382, 20387 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20382 and 20387 is 1.

GCF(20382,20387) = 1

GCF of 20382 and 20387

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

GCF of:
and

Greatest Common Factor of 20382 and 20387

GCF of 20382 and 20387 is 1

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

Prime Factorization of 20387


19 20387
29 1073
37 37
1

Prime factors of 20387 are 19,29,37. Prime factorization of 20387 in exponential form is:

20387 = 191×291×371

∴ So by taking common prime factors GCF of 20382 and 20387 is 1

Greatest Common Factor of 20382 and 20387 by matching factors method

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

Factors of 20387

List of positive integer factors of 20387 that divides 20387 without a remainder.

1,19,29,37,551,703,1073,20387

Greatest Common Factor

We found the factors and prime factorization of 20382 and 20387. The biggest common factor number is the GCF number.
So the greatest common factor 20382 and 20387 is 1.

Also check out the Least Common Multiple of 20382 and 20387

Properties of GCF 20382 and 20387

(i) The GCF of 20382 and 20387 is associative

GCF of 20382 and 20387 = GCF of 20387 and 20382

Related Greatest Common Factor of 20382

Related Greatest Common Factor of 20387

Frequently Asked Questions on GCF of 20382 and 20387

1. What is the GCF of 20382 and 20387?

Answer: GCF of 20382 and 20387 is 1.

2. 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.

3. What are the Factors of 20387?

Answer: Factors of 20387 are 1, 19, 29, 37, 551, 703, 1073, 20387. There are 8 integers that are factors of 20387. The greatest factor of 20387 is 20387.

4. How to Find the GCF of 20382 and 20387?

Answer:

Greatest Common Factor of 20382 and 20387 = 1

Step 1: Find the prime factorization of 20382

20382 = 2 x 3 x 43 x 79

Step 2: Find the prime factorization of 20387

20387 = 19 x 29 x 37

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 20382 and 20387 is 1