Greatest Common Factor of 7164 and 7169

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, 7169 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7164 and 7169 is 1.

GCF(7164,7169) = 1

GCF of 7164 and 7169

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

GCF of:
and

Greatest Common Factor of 7164 and 7169

GCF of 7164 and 7169 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 7169


67 7169
107 107
1

Prime factors of 7169 are 67,107. Prime factorization of 7169 in exponential form is:

7169 = 671×1071

∴ So by taking common prime factors GCF of 7164 and 7169 is 1

Greatest Common Factor of 7164 and 7169 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 7169

List of positive integer factors of 7169 that divides 7169 without a remainder.

1,67,107,7169

Greatest Common Factor

We found the factors and prime factorization of 7164 and 7169. The biggest common factor number is the GCF number.
So the greatest common factor 7164 and 7169 is 1.

Also check out the Least Common Multiple of 7164 and 7169

Properties of GCF 7164 and 7169

(i) The GCF of 7164 and 7169 is associative

GCF of 7164 and 7169 = GCF of 7169 and 7164

Related Greatest Common Factor of 7164

Related Greatest Common Factor of 7169

Frequently Asked Questions on GCF of 7164 and 7169

1. What is the GCF of 7164 and 7169?

Answer: GCF of 7164 and 7169 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 7169?

Answer: Factors of 7169 are 1, 67, 107, 7169. There are 4 integers that are factors of 7169. The greatest factor of 7169 is 7169.

4. How to Find the GCF of 7164 and 7169?

Answer:

Greatest Common Factor of 7164 and 7169 = 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 7169

7169 = 67 x 107

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 7169 is 1