Greatest Common Factor of 7085 and 7093

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 7085, 7093 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7085 and 7093 is 1.

GCF(7085,7093) = 1

GCF of 7085 and 7093

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

GCF of:
and

Greatest Common Factor of 7085 and 7093

GCF of 7085 and 7093 is 1

Prime Factorization of 7085


5 7085
13 1417
109 109
1

Prime factors of 7085 are 5,13,109. Prime factorization of 7085 in exponential form is:

7085 = 51×131×1091

Prime Factorization of 7093


41 7093
173 173
1

Prime factors of 7093 are 41,173. Prime factorization of 7093 in exponential form is:

7093 = 411×1731

∴ So by taking common prime factors GCF of 7085 and 7093 is 1

Greatest Common Factor of 7085 and 7093 by matching factors method

Factors of 7085

List of positive integer factors of 7085 that divides 7085 without a remainder.

1,5,13,65,109,545,1417,7085

Factors of 7093

List of positive integer factors of 7093 that divides 7093 without a remainder.

1,41,173,7093

Greatest Common Factor

We found the factors and prime factorization of 7085 and 7093. The biggest common factor number is the GCF number.
So the greatest common factor 7085 and 7093 is 1.

Also check out the Least Common Multiple of 7085 and 7093

Properties of GCF 7085 and 7093

(i) The GCF of 7085 and 7093 is associative

GCF of 7085 and 7093 = GCF of 7093 and 7085

Related Greatest Common Factor of 7085

Related Greatest Common Factor of 7093

Frequently Asked Questions on GCF of 7085 and 7093

1. What is the GCF of 7085 and 7093?

Answer: GCF of 7085 and 7093 is 1.

2. What are the Factors of 7085?

Answer: Factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085. There are 8 integers that are factors of 7085. The greatest factor of 7085 is 7085.

3. What are the Factors of 7093?

Answer: Factors of 7093 are 1, 41, 173, 7093. There are 4 integers that are factors of 7093. The greatest factor of 7093 is 7093.

4. How to Find the GCF of 7085 and 7093?

Answer:

Greatest Common Factor of 7085 and 7093 = 1

Step 1: Find the prime factorization of 7085

7085 = 5 x 13 x 109

Step 2: Find the prime factorization of 7093

7093 = 41 x 173

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 7085 and 7093 is 1