Greatest Common Factor of 16402 and 16410

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 16402, 16410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 16402 and 16410 is 2.

GCF(16402,16410) = 2

GCF of 16402 and 16410

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

GCF of:
and

Greatest Common Factor of 16402 and 16410

GCF of 16402 and 16410 is 2

Prime Factorization of 16402


2 16402
59 8201
139 139
1

Prime factors of 16402 are 2,59,139. Prime factorization of 16402 in exponential form is:

16402 = 21×591×1391

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

∴ So by taking common prime factors GCF of 16402 and 16410 is 2

Greatest Common Factor of 16402 and 16410 by matching factors method

Factors of 16402

List of positive integer factors of 16402 that divides 16402 without a remainder.

1,2,59,118,139,278,8201,16402

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

Greatest Common Factor

We found the factors and prime factorization of 16402 and 16410. The biggest common factor number is the GCF number.
So the greatest common factor 16402 and 16410 is 2.

Also check out the Least Common Multiple of 16402 and 16410

Properties of GCF 16402 and 16410

(i) The GCF of 16402 and 16410 is associative

GCF of 16402 and 16410 = GCF of 16410 and 16402

Related Greatest Common Factor of 16402

Related Greatest Common Factor of 16410

Frequently Asked Questions on GCF of 16402 and 16410

1. What is the GCF of 16402 and 16410?

Answer: GCF of 16402 and 16410 is 2.

2. What are the Factors of 16402?

Answer: Factors of 16402 are 1, 2, 59, 118, 139, 278, 8201, 16402. There are 8 integers that are factors of 16402. The greatest factor of 16402 is 16402.

3. 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.

4. How to Find the GCF of 16402 and 16410?

Answer:

Greatest Common Factor of 16402 and 16410 = 2

Step 1: Find the prime factorization of 16402

16402 = 2 x 59 x 139

Step 2: Find the prime factorization of 16410

16410 = 2 x 3 x 5 x 547

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 16402 and 16410 is 2