Greatest Common Factor of 20397 and 20401

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 20397, 20401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 20397 and 20401 is 1.

GCF(20397,20401) = 1

GCF of 20397 and 20401

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

GCF of:
and

Greatest Common Factor of 20397 and 20401

GCF of 20397 and 20401 is 1

Prime Factorization of 20397


3 20397
13 6799
523 523
1

Prime factors of 20397 are 3,13,523. Prime factorization of 20397 in exponential form is:

20397 = 31×131×5231

Prime Factorization of 20401


23 20401
887 887
1

Prime factors of 20401 are 23,887. Prime factorization of 20401 in exponential form is:

20401 = 231×8871

∴ So by taking common prime factors GCF of 20397 and 20401 is 1

Greatest Common Factor of 20397 and 20401 by matching factors method

Factors of 20397

List of positive integer factors of 20397 that divides 20397 without a remainder.

1,3,13,39,523,1569,6799,20397

Factors of 20401

List of positive integer factors of 20401 that divides 20401 without a remainder.

1,23,887,20401

Greatest Common Factor

We found the factors and prime factorization of 20397 and 20401. The biggest common factor number is the GCF number.
So the greatest common factor 20397 and 20401 is 1.

Also check out the Least Common Multiple of 20397 and 20401

Properties of GCF 20397 and 20401

(i) The GCF of 20397 and 20401 is associative

GCF of 20397 and 20401 = GCF of 20401 and 20397

Related Greatest Common Factor of 20397

Related Greatest Common Factor of 20401

Frequently Asked Questions on GCF of 20397 and 20401

1. What is the GCF of 20397 and 20401?

Answer: GCF of 20397 and 20401 is 1.

2. What are the Factors of 20397?

Answer: Factors of 20397 are 1, 3, 13, 39, 523, 1569, 6799, 20397. There are 8 integers that are factors of 20397. The greatest factor of 20397 is 20397.

3. What are the Factors of 20401?

Answer: Factors of 20401 are 1, 23, 887, 20401. There are 4 integers that are factors of 20401. The greatest factor of 20401 is 20401.

4. How to Find the GCF of 20397 and 20401?

Answer:

Greatest Common Factor of 20397 and 20401 = 1

Step 1: Find the prime factorization of 20397

20397 = 3 x 13 x 523

Step 2: Find the prime factorization of 20401

20401 = 23 x 887

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 20397 and 20401 is 1