Greatest Common Factor of 8177 and 8184

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 8177, 8184 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8177 and 8184 is 1.

GCF(8177,8184) = 1

GCF of 8177 and 8184

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

GCF of:
and

Greatest Common Factor of 8177 and 8184

GCF of 8177 and 8184 is 1

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

Prime Factorization of 8184


2 8184
2 4092
2 2046
3 1023
11 341
31 31
1

Prime factors of 8184 are 2,3,11,31. Prime factorization of 8184 in exponential form is:

8184 = 23×31×111×311

∴ So by taking common prime factors GCF of 8177 and 8184 is 1

Greatest Common Factor of 8177 and 8184 by matching factors method

Factors of 8177

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

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

Factors of 8184

List of positive integer factors of 8184 that divides 8184 without a remainder.

1,2,3,4,6,8,11,12,22,24,31,33,44,62,66,88,93,124,132,186,248,264,341,372,682,744,1023,1364,2046,2728,4092,8184

Greatest Common Factor

We found the factors and prime factorization of 8177 and 8184. The biggest common factor number is the GCF number.
So the greatest common factor 8177 and 8184 is 1.

Also check out the Least Common Multiple of 8177 and 8184

Properties of GCF 8177 and 8184

(i) The GCF of 8177 and 8184 is associative

GCF of 8177 and 8184 = GCF of 8184 and 8177

Related Greatest Common Factor of 8177

Related Greatest Common Factor of 8184

Frequently Asked Questions on GCF of 8177 and 8184

1. What is the GCF of 8177 and 8184?

Answer: GCF of 8177 and 8184 is 1.

2. 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.

3. What are the Factors of 8184?

Answer: Factors of 8184 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 124, 132, 186, 248, 264, 341, 372, 682, 744, 1023, 1364, 2046, 2728, 4092, 8184. There are 32 integers that are factors of 8184. The greatest factor of 8184 is 8184.

4. How to Find the GCF of 8177 and 8184?

Answer:

Greatest Common Factor of 8177 and 8184 = 1

Step 1: Find the prime factorization of 8177

8177 = 13 x 17 x 37

Step 2: Find the prime factorization of 8184

8184 = 2 x 2 x 2 x 3 x 11 x 31

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 8177 and 8184 is 1