Greatest Common Factor of 8164 and 8171

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 8164, 8171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8164 and 8171 is 1.

GCF(8164,8171) = 1

GCF of 8164 and 8171

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

GCF of:
and

Greatest Common Factor of 8164 and 8171

GCF of 8164 and 8171 is 1

Prime Factorization of 8164


2 8164
2 4082
13 2041
157 157
1

Prime factors of 8164 are 2,13,157. Prime factorization of 8164 in exponential form is:

8164 = 22×131×1571

Prime Factorization of 8171


8171 8171
1

Prime factors of 8171 are 8171. Prime factorization of 8171 in exponential form is:

8171 = 81711

∴ So by taking common prime factors GCF of 8164 and 8171 is 1

Greatest Common Factor of 8164 and 8171 by matching factors method

Factors of 8164

List of positive integer factors of 8164 that divides 8164 without a remainder.

1,2,4,13,26,52,157,314,628,2041,4082,8164

Factors of 8171

List of positive integer factors of 8171 that divides 8171 without a remainder.

1,8171

Greatest Common Factor

We found the factors and prime factorization of 8164 and 8171. The biggest common factor number is the GCF number.
So the greatest common factor 8164 and 8171 is 1.

Also check out the Least Common Multiple of 8164 and 8171

Properties of GCF 8164 and 8171

(i) The GCF of 8164 and 8171 is associative

GCF of 8164 and 8171 = GCF of 8171 and 8164

Related Greatest Common Factor of 8164

Related Greatest Common Factor of 8171

Frequently Asked Questions on GCF of 8164 and 8171

1. What is the GCF of 8164 and 8171?

Answer: GCF of 8164 and 8171 is 1.

2. What are the Factors of 8164?

Answer: Factors of 8164 are 1, 2, 4, 13, 26, 52, 157, 314, 628, 2041, 4082, 8164. There are 12 integers that are factors of 8164. The greatest factor of 8164 is 8164.

3. What are the Factors of 8171?

Answer: Factors of 8171 are 1, 8171. There are 2 integers that are factors of 8171. The greatest factor of 8171 is 8171.

4. How to Find the GCF of 8164 and 8171?

Answer:

Greatest Common Factor of 8164 and 8171 = 1

Step 1: Find the prime factorization of 8164

8164 = 2 x 2 x 13 x 157

Step 2: Find the prime factorization of 8171

8171 = 8171

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 8164 and 8171 is 1