Greatest Common Factor of 16421 and 16429

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 16421, 16429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16421 and 16429 is 1.

GCF(16421,16429) = 1

GCF of 16421 and 16429

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

GCF of:
and

Greatest Common Factor of 16421 and 16429

GCF of 16421 and 16429 is 1

Prime Factorization of 16421


16421 16421
1

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

16421 = 164211

Prime Factorization of 16429


7 16429
2347 2347
1

Prime factors of 16429 are 7.Prime factorization of 16429 in exponential form is:

16429 = 71×23471

∴ So by taking common prime factors GCF of 16421 and 16429 is 1

Greatest Common Factor of 16421 and 16429 by matching factors method

Factors of 16421

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

1,16421

Factors of 16429

List of positive integer factors of 16429 that divides 16429 without a remainder.

1,7,2347,16429

Greatest Common Factor

We found the factors and prime factorization of 16421 and 16429. The biggest common factor number is the GCF number.
So the greatest common factor 16421 and 16429 is 1.

Also check out the Least Common Multiple of 16421 and 16429

Properties of GCF 16421 and 16429

(i) The GCF of 16421 and 16429 is associative

GCF of 16421 and 16429 = GCF of 16429 and 16421

Related Greatest Common Factor of 16421

Related Greatest Common Factor of 16429

Frequently Asked Questions on GCF of 16421 and 16429

1. What is the GCF of 16421 and 16429?

Answer: GCF of 16421 and 16429 is 1.

2. 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.

3. What are the Factors of 16429?

Answer: Factors of 16429 are 1, 7, 2347, 16429. There are 4 integers that are factors of 16429. The greatest factor of 16429 is 16429.

4. How to Find the GCF of 16421 and 16429?

Answer:

Greatest Common Factor of 16421 and 16429 = 1

Step 1: Find the prime factorization of 16421

16421 = 16421

Step 2: Find the prime factorization of 16429

16429 = 7 x 2347

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 16421 and 16429 is 1