Greatest Common Factor of 16437 and 16440

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 16437, 16440 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16437 and 16440 is 3.

GCF(16437,16440) = 3

GCF of 16437 and 16440

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

GCF of:
and

Greatest Common Factor of 16437 and 16440

GCF of 16437 and 16440 is 3

Prime Factorization of 16437


3 16437
5479 5479
1

Prime factors of 16437 are 3,5479. Prime factorization of 16437 in exponential form is:

16437 = 31×54791

Prime Factorization of 16440


2 16440
2 8220
2 4110
3 2055
5 685
137 137
1

Prime factors of 16440 are 2,3,5,137. Prime factorization of 16440 in exponential form is:

16440 = 23×31×51×1371

∴ So by taking common prime factors GCF of 16437 and 16440 is 3

Greatest Common Factor of 16437 and 16440 by matching factors method

Factors of 16437

List of positive integer factors of 16437 that divides 16437 without a remainder.

1,3,5479,16437

Factors of 16440

List of positive integer factors of 16440 that divides 16440 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120,137,274,411,548,685,822,1096,1370,1644,2055,2740,3288,4110,5480,8220,16440

Greatest Common Factor

We found the factors and prime factorization of 16437 and 16440. The biggest common factor number is the GCF number.
So the greatest common factor 16437 and 16440 is 3.

Also check out the Least Common Multiple of 16437 and 16440

Properties of GCF 16437 and 16440

(i) The GCF of 16437 and 16440 is associative

GCF of 16437 and 16440 = GCF of 16440 and 16437

Related Greatest Common Factor of 16437

Related Greatest Common Factor of 16440

Frequently Asked Questions on GCF of 16437 and 16440

1. What is the GCF of 16437 and 16440?

Answer: GCF of 16437 and 16440 is 3.

2. What are the Factors of 16437?

Answer: Factors of 16437 are 1, 3, 5479, 16437. There are 4 integers that are factors of 16437. The greatest factor of 16437 is 16437.

3. What are the Factors of 16440?

Answer: Factors of 16440 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 137, 274, 411, 548, 685, 822, 1096, 1370, 1644, 2055, 2740, 3288, 4110, 5480, 8220, 16440. There are 32 integers that are factors of 16440. The greatest factor of 16440 is 16440.

4. How to Find the GCF of 16437 and 16440?

Answer:

Greatest Common Factor of 16437 and 16440 = 3

Step 1: Find the prime factorization of 16437

16437 = 3 x 5479

Step 2: Find the prime factorization of 16440

16440 = 2 x 2 x 2 x 3 x 5 x 137

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

GCF = 3

Step 4: Therefore, the greatest common factor of 16437 and 16440 is 3