Greatest Common Factor of 16424 and 16430

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 16424, 16430 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16424 and 16430 is 2.

GCF(16424,16430) = 2

GCF of 16424 and 16430

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

GCF of:
and

Greatest Common Factor of 16424 and 16430

GCF of 16424 and 16430 is 2

Prime Factorization of 16424


2 16424
2 8212
2 4106
2053 2053
1

Prime factors of 16424 are 2,2053. Prime factorization of 16424 in exponential form is:

16424 = 23×20531

Prime Factorization of 16430


2 16430
5 8215
31 1643
53 53
1

Prime factors of 16430 are 2,5,31,53. Prime factorization of 16430 in exponential form is:

16430 = 21×51×311×531

∴ So by taking common prime factors GCF of 16424 and 16430 is 2

Greatest Common Factor of 16424 and 16430 by matching factors method

Factors of 16424

List of positive integer factors of 16424 that divides 16424 without a remainder.

1,2,4,8,2053,4106,8212,16424

Factors of 16430

List of positive integer factors of 16430 that divides 16430 without a remainder.

1,2,5,10,31,53,62,106,155,265,310,530,1643,3286,8215,16430

Greatest Common Factor

We found the factors and prime factorization of 16424 and 16430. The biggest common factor number is the GCF number.
So the greatest common factor 16424 and 16430 is 2.

Also check out the Least Common Multiple of 16424 and 16430

Properties of GCF 16424 and 16430

(i) The GCF of 16424 and 16430 is associative

GCF of 16424 and 16430 = GCF of 16430 and 16424

Related Greatest Common Factor of 16424

Related Greatest Common Factor of 16430

Frequently Asked Questions on GCF of 16424 and 16430

1. What is the GCF of 16424 and 16430?

Answer: GCF of 16424 and 16430 is 2.

2. What are the Factors of 16424?

Answer: Factors of 16424 are 1, 2, 4, 8, 2053, 4106, 8212, 16424. There are 8 integers that are factors of 16424. The greatest factor of 16424 is 16424.

3. What are the Factors of 16430?

Answer: Factors of 16430 are 1, 2, 5, 10, 31, 53, 62, 106, 155, 265, 310, 530, 1643, 3286, 8215, 16430. There are 16 integers that are factors of 16430. The greatest factor of 16430 is 16430.

4. How to Find the GCF of 16424 and 16430?

Answer:

Greatest Common Factor of 16424 and 16430 = 2

Step 1: Find the prime factorization of 16424

16424 = 2 x 2 x 2 x 2053

Step 2: Find the prime factorization of 16430

16430 = 2 x 5 x 31 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 16424 and 16430 is 2