Greatest Common Factor of 8174 and 8180

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, 8180 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8174 and 8180 is 2.

GCF(8174,8180) = 2

GCF of 8174 and 8180

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

GCF of:
and

Greatest Common Factor of 8174 and 8180

GCF of 8174 and 8180 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 8180


2 8180
2 4090
5 2045
409 409
1

Prime factors of 8180 are 2,5,409. Prime factorization of 8180 in exponential form is:

8180 = 22×51×4091

∴ So by taking common prime factors GCF of 8174 and 8180 is 2

Greatest Common Factor of 8174 and 8180 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 8180

List of positive integer factors of 8180 that divides 8180 without a remainder.

1,2,4,5,10,20,409,818,1636,2045,4090,8180

Greatest Common Factor

We found the factors and prime factorization of 8174 and 8180. The biggest common factor number is the GCF number.
So the greatest common factor 8174 and 8180 is 2.

Also check out the Least Common Multiple of 8174 and 8180

Properties of GCF 8174 and 8180

(i) The GCF of 8174 and 8180 is associative

GCF of 8174 and 8180 = GCF of 8180 and 8174

Related Greatest Common Factor of 8174

Related Greatest Common Factor of 8180

Frequently Asked Questions on GCF of 8174 and 8180

1. What is the GCF of 8174 and 8180?

Answer: GCF of 8174 and 8180 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 8180?

Answer: Factors of 8180 are 1, 2, 4, 5, 10, 20, 409, 818, 1636, 2045, 4090, 8180. There are 12 integers that are factors of 8180. The greatest factor of 8180 is 8180.

4. How to Find the GCF of 8174 and 8180?

Answer:

Greatest Common Factor of 8174 and 8180 = 2

Step 1: Find the prime factorization of 8174

8174 = 2 x 61 x 67

Step 2: Find the prime factorization of 8180

8180 = 2 x 2 x 5 x 409

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 8180 is 2