Greatest Common Factor of 8356 and 8362

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 8356, 8362 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8356 and 8362 is 2.

GCF(8356,8362) = 2

GCF of 8356 and 8362

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

GCF of:
and

Greatest Common Factor of 8356 and 8362

GCF of 8356 and 8362 is 2

Prime Factorization of 8356


2 8356
2 4178
2089 2089
1

Prime factors of 8356 are 2,2089. Prime factorization of 8356 in exponential form is:

8356 = 22×20891

Prime Factorization of 8362


2 8362
37 4181
113 113
1

Prime factors of 8362 are 2,37,113. Prime factorization of 8362 in exponential form is:

8362 = 21×371×1131

∴ So by taking common prime factors GCF of 8356 and 8362 is 2

Greatest Common Factor of 8356 and 8362 by matching factors method

Factors of 8356

List of positive integer factors of 8356 that divides 8356 without a remainder.

1,2,4,2089,4178,8356

Factors of 8362

List of positive integer factors of 8362 that divides 8362 without a remainder.

1,2,37,74,113,226,4181,8362

Greatest Common Factor

We found the factors and prime factorization of 8356 and 8362. The biggest common factor number is the GCF number.
So the greatest common factor 8356 and 8362 is 2.

Also check out the Least Common Multiple of 8356 and 8362

Properties of GCF 8356 and 8362

(i) The GCF of 8356 and 8362 is associative

GCF of 8356 and 8362 = GCF of 8362 and 8356

Related Greatest Common Factor of 8356

Related Greatest Common Factor of 8362

Frequently Asked Questions on GCF of 8356 and 8362

1. What is the GCF of 8356 and 8362?

Answer: GCF of 8356 and 8362 is 2.

2. What are the Factors of 8356?

Answer: Factors of 8356 are 1, 2, 4, 2089, 4178, 8356. There are 6 integers that are factors of 8356. The greatest factor of 8356 is 8356.

3. What are the Factors of 8362?

Answer: Factors of 8362 are 1, 2, 37, 74, 113, 226, 4181, 8362. There are 8 integers that are factors of 8362. The greatest factor of 8362 is 8362.

4. How to Find the GCF of 8356 and 8362?

Answer:

Greatest Common Factor of 8356 and 8362 = 2

Step 1: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

Step 2: Find the prime factorization of 8362

8362 = 2 x 37 x 113

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 8356 and 8362 is 2