Greatest Common Factor of 7089 and 7097

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 7089, 7097 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7089 and 7097 is 1.

GCF(7089,7097) = 1

GCF of 7089 and 7097

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

GCF of:
and

Greatest Common Factor of 7089 and 7097

GCF of 7089 and 7097 is 1

Prime Factorization of 7089


3 7089
17 2363
139 139
1

Prime factors of 7089 are 3,17,139. Prime factorization of 7089 in exponential form is:

7089 = 31×171×1391

Prime Factorization of 7097


47 7097
151 151
1

Prime factors of 7097 are 47,151. Prime factorization of 7097 in exponential form is:

7097 = 471×1511

∴ So by taking common prime factors GCF of 7089 and 7097 is 1

Greatest Common Factor of 7089 and 7097 by matching factors method

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1,3,17,51,139,417,2363,7089

Factors of 7097

List of positive integer factors of 7097 that divides 7097 without a remainder.

1,47,151,7097

Greatest Common Factor

We found the factors and prime factorization of 7089 and 7097. The biggest common factor number is the GCF number.
So the greatest common factor 7089 and 7097 is 1.

Also check out the Least Common Multiple of 7089 and 7097

Properties of GCF 7089 and 7097

(i) The GCF of 7089 and 7097 is associative

GCF of 7089 and 7097 = GCF of 7097 and 7089

Related Greatest Common Factor of 7089

Related Greatest Common Factor of 7097

Frequently Asked Questions on GCF of 7089 and 7097

1. What is the GCF of 7089 and 7097?

Answer: GCF of 7089 and 7097 is 1.

2. What are the Factors of 7089?

Answer: Factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089. There are 8 integers that are factors of 7089. The greatest factor of 7089 is 7089.

3. What are the Factors of 7097?

Answer: Factors of 7097 are 1, 47, 151, 7097. There are 4 integers that are factors of 7097. The greatest factor of 7097 is 7097.

4. How to Find the GCF of 7089 and 7097?

Answer:

Greatest Common Factor of 7089 and 7097 = 1

Step 1: Find the prime factorization of 7089

7089 = 3 x 17 x 139

Step 2: Find the prime factorization of 7097

7097 = 47 x 151

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 7089 and 7097 is 1