Greatest Common Factor of 16410 and 16415

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 16410, 16415 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16410 and 16415 is 5.

GCF(16410,16415) = 5

GCF of 16410 and 16415

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

GCF of:
and

Greatest Common Factor of 16410 and 16415

GCF of 16410 and 16415 is 5

Prime Factorization of 16410


2 16410
3 8205
5 2735
547 547
1

Prime factors of 16410 are 2,3,5,547. Prime factorization of 16410 in exponential form is:

16410 = 21×31×51×5471

Prime Factorization of 16415


5 16415
7 3283
7 469
67 67
1

Prime factors of 16415 are 5,7,67. Prime factorization of 16415 in exponential form is:

16415 = 51×72×671

∴ So by taking common prime factors GCF of 16410 and 16415 is 5

Greatest Common Factor of 16410 and 16415 by matching factors method

Factors of 16410

List of positive integer factors of 16410 that divides 16410 without a remainder.

1,2,3,5,6,10,15,30,547,1094,1641,2735,3282,5470,8205,16410

Factors of 16415

List of positive integer factors of 16415 that divides 16415 without a remainder.

1,5,7,35,49,67,245,335,469,2345,3283,16415

Greatest Common Factor

We found the factors and prime factorization of 16410 and 16415. The biggest common factor number is the GCF number.
So the greatest common factor 16410 and 16415 is 5.

Also check out the Least Common Multiple of 16410 and 16415

Properties of GCF 16410 and 16415

(i) The GCF of 16410 and 16415 is associative

GCF of 16410 and 16415 = GCF of 16415 and 16410

Related Greatest Common Factor of 16410

Related Greatest Common Factor of 16415

Frequently Asked Questions on GCF of 16410 and 16415

1. What is the GCF of 16410 and 16415?

Answer: GCF of 16410 and 16415 is 5.

2. What are the Factors of 16410?

Answer: Factors of 16410 are 1, 2, 3, 5, 6, 10, 15, 30, 547, 1094, 1641, 2735, 3282, 5470, 8205, 16410. There are 16 integers that are factors of 16410. The greatest factor of 16410 is 16410.

3. What are the Factors of 16415?

Answer: Factors of 16415 are 1, 5, 7, 35, 49, 67, 245, 335, 469, 2345, 3283, 16415. There are 12 integers that are factors of 16415. The greatest factor of 16415 is 16415.

4. How to Find the GCF of 16410 and 16415?

Answer:

Greatest Common Factor of 16410 and 16415 = 5

Step 1: Find the prime factorization of 16410

16410 = 2 x 3 x 5 x 547

Step 2: Find the prime factorization of 16415

16415 = 5 x 7 x 7 x 67

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

GCF = 5

Step 4: Therefore, the greatest common factor of 16410 and 16415 is 5