Greatest Common Factor of 7164 and 7171

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 7164, 7171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7164 and 7171 is 1.

GCF(7164,7171) = 1

GCF of 7164 and 7171

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

GCF of:
and

Greatest Common Factor of 7164 and 7171

GCF of 7164 and 7171 is 1

Prime Factorization of 7164


2 7164
2 3582
3 1791
3 597
199 199
1

Prime factors of 7164 are 2,3,199. Prime factorization of 7164 in exponential form is:

7164 = 22×32×1991

Prime Factorization of 7171


71 7171
101 101
1

Prime factors of 7171 are 71,101. Prime factorization of 7171 in exponential form is:

7171 = 711×1011

∴ So by taking common prime factors GCF of 7164 and 7171 is 1

Greatest Common Factor of 7164 and 7171 by matching factors method

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Factors of 7171

List of positive integer factors of 7171 that divides 7171 without a remainder.

1,71,101,7171

Greatest Common Factor

We found the factors and prime factorization of 7164 and 7171. The biggest common factor number is the GCF number.
So the greatest common factor 7164 and 7171 is 1.

Also check out the Least Common Multiple of 7164 and 7171

Properties of GCF 7164 and 7171

(i) The GCF of 7164 and 7171 is associative

GCF of 7164 and 7171 = GCF of 7171 and 7164

Related Greatest Common Factor of 7164

Related Greatest Common Factor of 7171

Frequently Asked Questions on GCF of 7164 and 7171

1. What is the GCF of 7164 and 7171?

Answer: GCF of 7164 and 7171 is 1.

2. What are the Factors of 7164?

Answer: Factors of 7164 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 199, 398, 597, 796, 1194, 1791, 2388, 3582, 7164. There are 18 integers that are factors of 7164. The greatest factor of 7164 is 7164.

3. What are the Factors of 7171?

Answer: Factors of 7171 are 1, 71, 101, 7171. There are 4 integers that are factors of 7171. The greatest factor of 7171 is 7171.

4. How to Find the GCF of 7164 and 7171?

Answer:

Greatest Common Factor of 7164 and 7171 = 1

Step 1: Find the prime factorization of 7164

7164 = 2 x 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 7171

7171 = 71 x 101

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 7164 and 7171 is 1