Greatest Common Factor of 8171 and 8172

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 8171, 8172 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8171 and 8172 is 1.

GCF(8171,8172) = 1

GCF of 8171 and 8172

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

GCF of:
and

Greatest Common Factor of 8171 and 8172

GCF of 8171 and 8172 is 1

Prime Factorization of 8171


8171 8171
1

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

8171 = 81711

Prime Factorization of 8172


2 8172
2 4086
3 2043
3 681
227 227
1

Prime factors of 8172 are 2.Prime factorization of 8172 in exponential form is:

8172 = 22×32×2271

∴ So by taking common prime factors GCF of 8171 and 8172 is 1

Greatest Common Factor of 8171 and 8172 by matching factors method

Factors of 8171

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

1,8171

Factors of 8172

List of positive integer factors of 8172 that divides 8172 without a remainder.

1,2,3,4,6,9,12,18,36,227,454,681,908,1362,2043,2724,4086,8172

Greatest Common Factor

We found the factors and prime factorization of 8171 and 8172. The biggest common factor number is the GCF number.
So the greatest common factor 8171 and 8172 is 1.

Also check out the Least Common Multiple of 8171 and 8172

Properties of GCF 8171 and 8172

(i) The GCF of 8171 and 8172 is associative

GCF of 8171 and 8172 = GCF of 8172 and 8171

Related Greatest Common Factor of 8171

Related Greatest Common Factor of 8172

Frequently Asked Questions on GCF of 8171 and 8172

1. What is the GCF of 8171 and 8172?

Answer: GCF of 8171 and 8172 is 1.

2. 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.

3. What are the Factors of 8172?

Answer: Factors of 8172 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 227, 454, 681, 908, 1362, 2043, 2724, 4086, 8172. There are 18 integers that are factors of 8172. The greatest factor of 8172 is 8172.

4. How to Find the GCF of 8171 and 8172?

Answer:

Greatest Common Factor of 8171 and 8172 = 1

Step 1: Find the prime factorization of 8171

8171 = 8171

Step 2: Find the prime factorization of 8172

8172 = 2 x 2 x 3 x 3 x 227

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 8171 and 8172 is 1