Greatest Common Factor of 8174 and 8178

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 8174, 8178 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8174 and 8178 is 2.

GCF(8174,8178) = 2

GCF of 8174 and 8178

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

GCF of:
and

Greatest Common Factor of 8174 and 8178

GCF of 8174 and 8178 is 2

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

Prime Factorization of 8178


2 8178
3 4089
29 1363
47 47
1

Prime factors of 8178 are 2,3,29,47. Prime factorization of 8178 in exponential form is:

8178 = 21×31×291×471

∴ So by taking common prime factors GCF of 8174 and 8178 is 2

Greatest Common Factor of 8174 and 8178 by matching factors method

Factors of 8174

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

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

Factors of 8178

List of positive integer factors of 8178 that divides 8178 without a remainder.

1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178

Greatest Common Factor

We found the factors and prime factorization of 8174 and 8178. The biggest common factor number is the GCF number.
So the greatest common factor 8174 and 8178 is 2.

Also check out the Least Common Multiple of 8174 and 8178

Properties of GCF 8174 and 8178

(i) The GCF of 8174 and 8178 is associative

GCF of 8174 and 8178 = GCF of 8178 and 8174

Related Greatest Common Factor of 8174

Related Greatest Common Factor of 8178

Frequently Asked Questions on GCF of 8174 and 8178

1. What is the GCF of 8174 and 8178?

Answer: GCF of 8174 and 8178 is 2.

2. 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.

3. What are the Factors of 8178?

Answer: Factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178. There are 16 integers that are factors of 8178. The greatest factor of 8178 is 8178.

4. How to Find the GCF of 8174 and 8178?

Answer:

Greatest Common Factor of 8174 and 8178 = 2

Step 1: Find the prime factorization of 8174

8174 = 2 x 61 x 67

Step 2: Find the prime factorization of 8178

8178 = 2 x 3 x 29 x 47

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 8174 and 8178 is 2