Greatest Common Factor of 8168 and 8174

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 8168, 8174 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8168 and 8174 is 2.

GCF(8168,8174) = 2

GCF of 8168 and 8174

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

GCF of:
and

Greatest Common Factor of 8168 and 8174

GCF of 8168 and 8174 is 2

Prime Factorization of 8168


2 8168
2 4084
2 2042
1021 1021
1

Prime factors of 8168 are 2,1021. Prime factorization of 8168 in exponential form is:

8168 = 23×10211

Prime Factorization of 8174


2 8174
61 4087
67 67
1

Prime factors of 8174 are 2,61,67. Prime factorization of 8174 in exponential form is:

8174 = 21×611×671

∴ So by taking common prime factors GCF of 8168 and 8174 is 2

Greatest Common Factor of 8168 and 8174 by matching factors method

Factors of 8168

List of positive integer factors of 8168 that divides 8168 without a remainder.

1,2,4,8,1021,2042,4084,8168

Factors of 8174

List of positive integer factors of 8174 that divides 8174 without a remainder.

1,2,61,67,122,134,4087,8174

Greatest Common Factor

We found the factors and prime factorization of 8168 and 8174. The biggest common factor number is the GCF number.
So the greatest common factor 8168 and 8174 is 2.

Also check out the Least Common Multiple of 8168 and 8174

Properties of GCF 8168 and 8174

(i) The GCF of 8168 and 8174 is associative

GCF of 8168 and 8174 = GCF of 8174 and 8168

Related Greatest Common Factor of 8168

Related Greatest Common Factor of 8174

Frequently Asked Questions on GCF of 8168 and 8174

1. What is the GCF of 8168 and 8174?

Answer: GCF of 8168 and 8174 is 2.

2. What are the Factors of 8168?

Answer: Factors of 8168 are 1, 2, 4, 8, 1021, 2042, 4084, 8168. There are 8 integers that are factors of 8168. The greatest factor of 8168 is 8168.

3. What are the Factors of 8174?

Answer: Factors of 8174 are 1, 2, 61, 67, 122, 134, 4087, 8174. There are 8 integers that are factors of 8174. The greatest factor of 8174 is 8174.

4. How to Find the GCF of 8168 and 8174?

Answer:

Greatest Common Factor of 8168 and 8174 = 2

Step 1: Find the prime factorization of 8168

8168 = 2 x 2 x 2 x 1021

Step 2: Find the prime factorization of 8174

8174 = 2 x 61 x 67

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 8168 and 8174 is 2