Greatest Common Factor of 7095 and 7098

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 7095, 7098 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7095 and 7098 is 3.

GCF(7095,7098) = 3

GCF of 7095 and 7098

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

GCF of:
and

Greatest Common Factor of 7095 and 7098

GCF of 7095 and 7098 is 3

Prime Factorization of 7095


3 7095
5 2365
11 473
43 43
1

Prime factors of 7095 are 3,5,11,43. Prime factorization of 7095 in exponential form is:

7095 = 31×51×111×431

Prime Factorization of 7098


2 7098
3 3549
7 1183
13 169
13 13
1

Prime factors of 7098 are 2,3,7,13. Prime factorization of 7098 in exponential form is:

7098 = 21×31×71×132

∴ So by taking common prime factors GCF of 7095 and 7098 is 3

Greatest Common Factor of 7095 and 7098 by matching factors method

Factors of 7095

List of positive integer factors of 7095 that divides 7095 without a remainder.

1,3,5,11,15,33,43,55,129,165,215,473,645,1419,2365,7095

Factors of 7098

List of positive integer factors of 7098 that divides 7098 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,169,182,273,338,507,546,1014,1183,2366,3549,7098

Greatest Common Factor

We found the factors and prime factorization of 7095 and 7098. The biggest common factor number is the GCF number.
So the greatest common factor 7095 and 7098 is 3.

Also check out the Least Common Multiple of 7095 and 7098

Properties of GCF 7095 and 7098

(i) The GCF of 7095 and 7098 is associative

GCF of 7095 and 7098 = GCF of 7098 and 7095

Related Greatest Common Factor of 7095

Related Greatest Common Factor of 7098

Frequently Asked Questions on GCF of 7095 and 7098

1. What is the GCF of 7095 and 7098?

Answer: GCF of 7095 and 7098 is 3.

2. What are the Factors of 7095?

Answer: Factors of 7095 are 1, 3, 5, 11, 15, 33, 43, 55, 129, 165, 215, 473, 645, 1419, 2365, 7095. There are 16 integers that are factors of 7095. The greatest factor of 7095 is 7095.

3. What are the Factors of 7098?

Answer: Factors of 7098 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 169, 182, 273, 338, 507, 546, 1014, 1183, 2366, 3549, 7098. There are 24 integers that are factors of 7098. The greatest factor of 7098 is 7098.

4. How to Find the GCF of 7095 and 7098?

Answer:

Greatest Common Factor of 7095 and 7098 = 3

Step 1: Find the prime factorization of 7095

7095 = 3 x 5 x 11 x 43

Step 2: Find the prime factorization of 7098

7098 = 2 x 3 x 7 x 13 x 13

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7095 and 7098 is 3