Greatest Common Factor of 7088 and 7089

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 7088, 7089 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7088 and 7089 is 1.

GCF(7088,7089) = 1

GCF of 7088 and 7089

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

GCF of:
and

Greatest Common Factor of 7088 and 7089

GCF of 7088 and 7089 is 1

Prime Factorization of 7088


2 7088
2 3544
2 1772
2 886
443 443
1

Prime factors of 7088 are 2,443. Prime factorization of 7088 in exponential form is:

7088 = 24×4431

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

∴ So by taking common prime factors GCF of 7088 and 7089 is 1

Greatest Common Factor of 7088 and 7089 by matching factors method

Factors of 7088

List of positive integer factors of 7088 that divides 7088 without a remainder.

1,2,4,8,16,443,886,1772,3544,7088

Factors of 7089

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

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

Greatest Common Factor

We found the factors and prime factorization of 7088 and 7089. The biggest common factor number is the GCF number.
So the greatest common factor 7088 and 7089 is 1.

Also check out the Least Common Multiple of 7088 and 7089

Properties of GCF 7088 and 7089

(i) The GCF of 7088 and 7089 is associative

GCF of 7088 and 7089 = GCF of 7089 and 7088

Frequently Asked Questions on GCF of 7088 and 7089

1. What is the GCF of 7088 and 7089?

Answer: GCF of 7088 and 7089 is 1.

2. What are the Factors of 7088?

Answer: Factors of 7088 are 1, 2, 4, 8, 16, 443, 886, 1772, 3544, 7088. There are 10 integers that are factors of 7088. The greatest factor of 7088 is 7088.

3. 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.

4. How to Find the GCF of 7088 and 7089?

Answer:

Greatest Common Factor of 7088 and 7089 = 1

Step 1: Find the prime factorization of 7088

7088 = 2 x 2 x 2 x 2 x 443

Step 2: Find the prime factorization of 7089

7089 = 3 x 17 x 139

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 7088 and 7089 is 1