Greatest Common Factor of 16418 and 16424

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 16418, 16424 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16418 and 16424 is 2.

GCF(16418,16424) = 2

GCF of 16418 and 16424

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

GCF of:
and

Greatest Common Factor of 16418 and 16424

GCF of 16418 and 16424 is 2

Prime Factorization of 16418


2 16418
8209 8209
1

Prime factors of 16418 are 2,8209. Prime factorization of 16418 in exponential form is:

16418 = 21×82091

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

∴ So by taking common prime factors GCF of 16418 and 16424 is 2

Greatest Common Factor of 16418 and 16424 by matching factors method

Factors of 16418

List of positive integer factors of 16418 that divides 16418 without a remainder.

1,2,8209,16418

Factors of 16424

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

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

Greatest Common Factor

We found the factors and prime factorization of 16418 and 16424. The biggest common factor number is the GCF number.
So the greatest common factor 16418 and 16424 is 2.

Also check out the Least Common Multiple of 16418 and 16424

Properties of GCF 16418 and 16424

(i) The GCF of 16418 and 16424 is associative

GCF of 16418 and 16424 = GCF of 16424 and 16418

Related Greatest Common Factor of 16418

Related Greatest Common Factor of 16424

Frequently Asked Questions on GCF of 16418 and 16424

1. What is the GCF of 16418 and 16424?

Answer: GCF of 16418 and 16424 is 2.

2. What are the Factors of 16418?

Answer: Factors of 16418 are 1, 2, 8209, 16418. There are 4 integers that are factors of 16418. The greatest factor of 16418 is 16418.

3. 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.

4. How to Find the GCF of 16418 and 16424?

Answer:

Greatest Common Factor of 16418 and 16424 = 2

Step 1: Find the prime factorization of 16418

16418 = 2 x 8209

Step 2: Find the prime factorization of 16424

16424 = 2 x 2 x 2 x 2053

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 16418 and 16424 is 2