Greatest Common Factor of 8174 and 8177

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, 8177 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8174 and 8177 is 1.

GCF(8174,8177) = 1

GCF of 8174 and 8177

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

GCF of:
and

Greatest Common Factor of 8174 and 8177

GCF of 8174 and 8177 is 1

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 8177


13 8177
17 629
37 37
1

Prime factors of 8177 are 13,17,37. Prime factorization of 8177 in exponential form is:

8177 = 131×171×371

∴ So by taking common prime factors GCF of 8174 and 8177 is 1

Greatest Common Factor of 8174 and 8177 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 8177

List of positive integer factors of 8177 that divides 8177 without a remainder.

1,13,17,37,221,481,629,8177

Greatest Common Factor

We found the factors and prime factorization of 8174 and 8177. The biggest common factor number is the GCF number.
So the greatest common factor 8174 and 8177 is 1.

Also check out the Least Common Multiple of 8174 and 8177

Properties of GCF 8174 and 8177

(i) The GCF of 8174 and 8177 is associative

GCF of 8174 and 8177 = GCF of 8177 and 8174

Related Greatest Common Factor of 8174

Related Greatest Common Factor of 8177

Frequently Asked Questions on GCF of 8174 and 8177

1. What is the GCF of 8174 and 8177?

Answer: GCF of 8174 and 8177 is 1.

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 8177?

Answer: Factors of 8177 are 1, 13, 17, 37, 221, 481, 629, 8177. There are 8 integers that are factors of 8177. The greatest factor of 8177 is 8177.

4. How to Find the GCF of 8174 and 8177?

Answer:

Greatest Common Factor of 8174 and 8177 = 1

Step 1: Find the prime factorization of 8174

8174 = 2 x 61 x 67

Step 2: Find the prime factorization of 8177

8177 = 13 x 17 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8174 and 8177 is 1