Greatest Common Factor of 16420 and 16421

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 16420, 16421 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16420 and 16421 is 1.

GCF(16420,16421) = 1

GCF of 16420 and 16421

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

GCF of:
and

Greatest Common Factor of 16420 and 16421

GCF of 16420 and 16421 is 1

Prime Factorization of 16420


2 16420
2 8210
5 4105
821 821
1

Prime factors of 16420 are 2,5,821. Prime factorization of 16420 in exponential form is:

16420 = 22×51×8211

Prime Factorization of 16421


16421 16421
1

Prime factors of 16421 are 16421. Prime factorization of 16421 in exponential form is:

16421 = 164211

∴ So by taking common prime factors GCF of 16420 and 16421 is 1

Greatest Common Factor of 16420 and 16421 by matching factors method

Factors of 16420

List of positive integer factors of 16420 that divides 16420 without a remainder.

1,2,4,5,10,20,821,1642,3284,4105,8210,16420

Factors of 16421

List of positive integer factors of 16421 that divides 16421 without a remainder.

1,16421

Greatest Common Factor

We found the factors and prime factorization of 16420 and 16421. The biggest common factor number is the GCF number.
So the greatest common factor 16420 and 16421 is 1.

Also check out the Least Common Multiple of 16420 and 16421

Properties of GCF 16420 and 16421

(i) The GCF of 16420 and 16421 is associative

GCF of 16420 and 16421 = GCF of 16421 and 16420

Related Greatest Common Factor of 16420

Related Greatest Common Factor of 16421

Frequently Asked Questions on GCF of 16420 and 16421

1. What is the GCF of 16420 and 16421?

Answer: GCF of 16420 and 16421 is 1.

2. What are the Factors of 16420?

Answer: Factors of 16420 are 1, 2, 4, 5, 10, 20, 821, 1642, 3284, 4105, 8210, 16420. There are 12 integers that are factors of 16420. The greatest factor of 16420 is 16420.

3. What are the Factors of 16421?

Answer: Factors of 16421 are 1, 16421. There are 2 integers that are factors of 16421. The greatest factor of 16421 is 16421.

4. How to Find the GCF of 16420 and 16421?

Answer:

Greatest Common Factor of 16420 and 16421 = 1

Step 1: Find the prime factorization of 16420

16420 = 2 x 2 x 5 x 821

Step 2: Find the prime factorization of 16421

16421 = 16421

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 16420 and 16421 is 1