Greatest Common Factor of 8348 and 8356

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 8348, 8356 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8348 and 8356 is 4.

GCF(8348,8356) = 4

GCF of 8348 and 8356

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

GCF of:
and

Greatest Common Factor of 8348 and 8356

GCF of 8348 and 8356 is 4

Prime Factorization of 8348


2 8348
2 4174
2087 2087
1

Prime factors of 8348 are 2,2087. Prime factorization of 8348 in exponential form is:

8348 = 22×20871

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

∴ So by taking common prime factors GCF of 8348 and 8356 is 4

Greatest Common Factor of 8348 and 8356 by matching factors method

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1,2,4,2087,4174,8348

Factors of 8356

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

1,2,4,2089,4178,8356

Greatest Common Factor

We found the factors and prime factorization of 8348 and 8356. The biggest common factor number is the GCF number.
So the greatest common factor 8348 and 8356 is 4.

Also check out the Least Common Multiple of 8348 and 8356

Properties of GCF 8348 and 8356

(i) The GCF of 8348 and 8356 is associative

GCF of 8348 and 8356 = GCF of 8356 and 8348

Related Greatest Common Factor of 8348

Related Greatest Common Factor of 8356

Frequently Asked Questions on GCF of 8348 and 8356

1. What is the GCF of 8348 and 8356?

Answer: GCF of 8348 and 8356 is 4.

2. What are the Factors of 8348?

Answer: Factors of 8348 are 1, 2, 4, 2087, 4174, 8348. There are 6 integers that are factors of 8348. The greatest factor of 8348 is 8348.

3. 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.

4. How to Find the GCF of 8348 and 8356?

Answer:

Greatest Common Factor of 8348 and 8356 = 4

Step 1: Find the prime factorization of 8348

8348 = 2 x 2 x 2087

Step 2: Find the prime factorization of 8356

8356 = 2 x 2 x 2089

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8348 and 8356 is 4