Greatest Common Factor of 7085 and 7090

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, 7090 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7085 and 7090 is 5.

GCF(7085,7090) = 5

GCF of 7085 and 7090

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

GCF of:
and

Greatest Common Factor of 7085 and 7090

GCF of 7085 and 7090 is 5

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 7090


2 7090
5 3545
709 709
1

Prime factors of 7090 are 2,5,709. Prime factorization of 7090 in exponential form is:

7090 = 21×51×7091

∴ So by taking common prime factors GCF of 7085 and 7090 is 5

Greatest Common Factor of 7085 and 7090 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 7090

List of positive integer factors of 7090 that divides 7090 without a remainder.

1,2,5,10,709,1418,3545,7090

Greatest Common Factor

We found the factors and prime factorization of 7085 and 7090. The biggest common factor number is the GCF number.
So the greatest common factor 7085 and 7090 is 5.

Also check out the Least Common Multiple of 7085 and 7090

Properties of GCF 7085 and 7090

(i) The GCF of 7085 and 7090 is associative

GCF of 7085 and 7090 = GCF of 7090 and 7085

Related Greatest Common Factor of 7085

Related Greatest Common Factor of 7090

Frequently Asked Questions on GCF of 7085 and 7090

1. What is the GCF of 7085 and 7090?

Answer: GCF of 7085 and 7090 is 5.

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 7090?

Answer: Factors of 7090 are 1, 2, 5, 10, 709, 1418, 3545, 7090. There are 8 integers that are factors of 7090. The greatest factor of 7090 is 7090.

4. How to Find the GCF of 7085 and 7090?

Answer:

Greatest Common Factor of 7085 and 7090 = 5

Step 1: Find the prime factorization of 7085

7085 = 5 x 13 x 109

Step 2: Find the prime factorization of 7090

7090 = 2 x 5 x 709

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 5

Step 4: Therefore, the greatest common factor of 7085 and 7090 is 5