Greatest Common Factor of 8402 and 8410

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 8402, 8410 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8402 and 8410 is 2.

GCF(8402,8410) = 2

GCF of 8402 and 8410

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

GCF of:
and

Greatest Common Factor of 8402 and 8410

GCF of 8402 and 8410 is 2

Prime Factorization of 8402


2 8402
4201 4201
1

Prime factors of 8402 are 2,4201. Prime factorization of 8402 in exponential form is:

8402 = 21×42011

Prime Factorization of 8410


2 8410
5 4205
29 841
29 29
1

Prime factors of 8410 are 2,5,29. Prime factorization of 8410 in exponential form is:

8410 = 21×51×292

∴ So by taking common prime factors GCF of 8402 and 8410 is 2

Greatest Common Factor of 8402 and 8410 by matching factors method

Factors of 8402

List of positive integer factors of 8402 that divides 8402 without a remainder.

1,2,4201,8402

Factors of 8410

List of positive integer factors of 8410 that divides 8410 without a remainder.

1,2,5,10,29,58,145,290,841,1682,4205,8410

Greatest Common Factor

We found the factors and prime factorization of 8402 and 8410. The biggest common factor number is the GCF number.
So the greatest common factor 8402 and 8410 is 2.

Also check out the Least Common Multiple of 8402 and 8410

Properties of GCF 8402 and 8410

(i) The GCF of 8402 and 8410 is associative

GCF of 8402 and 8410 = GCF of 8410 and 8402

Related Greatest Common Factor of 8402

Related Greatest Common Factor of 8410

Frequently Asked Questions on GCF of 8402 and 8410

1. What is the GCF of 8402 and 8410?

Answer: GCF of 8402 and 8410 is 2.

2. What are the Factors of 8402?

Answer: Factors of 8402 are 1, 2, 4201, 8402. There are 4 integers that are factors of 8402. The greatest factor of 8402 is 8402.

3. What are the Factors of 8410?

Answer: Factors of 8410 are 1, 2, 5, 10, 29, 58, 145, 290, 841, 1682, 4205, 8410. There are 12 integers that are factors of 8410. The greatest factor of 8410 is 8410.

4. How to Find the GCF of 8402 and 8410?

Answer:

Greatest Common Factor of 8402 and 8410 = 2

Step 1: Find the prime factorization of 8402

8402 = 2 x 4201

Step 2: Find the prime factorization of 8410

8410 = 2 x 5 x 29 x 29

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 8402 and 8410 is 2