Greatest Common Factor of 7105 and 7110

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 7105, 7110 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7105 and 7110 is 5.

GCF(7105,7110) = 5

GCF of 7105 and 7110

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

GCF of:
and

Greatest Common Factor of 7105 and 7110

GCF of 7105 and 7110 is 5

Prime Factorization of 7105


5 7105
7 1421
7 203
29 29
1

Prime factors of 7105 are 5,7,29. Prime factorization of 7105 in exponential form is:

7105 = 51×72×291

Prime Factorization of 7110


2 7110
3 3555
3 1185
5 395
79 79
1

Prime factors of 7110 are 2,3,5,79. Prime factorization of 7110 in exponential form is:

7110 = 21×32×51×791

∴ So by taking common prime factors GCF of 7105 and 7110 is 5

Greatest Common Factor of 7105 and 7110 by matching factors method

Factors of 7105

List of positive integer factors of 7105 that divides 7105 without a remainder.

1,5,7,29,35,49,145,203,245,1015,1421,7105

Factors of 7110

List of positive integer factors of 7110 that divides 7110 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,79,90,158,237,395,474,711,790,1185,1422,2370,3555,7110

Greatest Common Factor

We found the factors and prime factorization of 7105 and 7110. The biggest common factor number is the GCF number.
So the greatest common factor 7105 and 7110 is 5.

Also check out the Least Common Multiple of 7105 and 7110

Properties of GCF 7105 and 7110

(i) The GCF of 7105 and 7110 is associative

GCF of 7105 and 7110 = GCF of 7110 and 7105

Related Greatest Common Factor of 7105

Related Greatest Common Factor of 7110

Frequently Asked Questions on GCF of 7105 and 7110

1. What is the GCF of 7105 and 7110?

Answer: GCF of 7105 and 7110 is 5.

2. What are the Factors of 7105?

Answer: Factors of 7105 are 1, 5, 7, 29, 35, 49, 145, 203, 245, 1015, 1421, 7105. There are 12 integers that are factors of 7105. The greatest factor of 7105 is 7105.

3. What are the Factors of 7110?

Answer: Factors of 7110 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 79, 90, 158, 237, 395, 474, 711, 790, 1185, 1422, 2370, 3555, 7110. There are 24 integers that are factors of 7110. The greatest factor of 7110 is 7110.

4. How to Find the GCF of 7105 and 7110?

Answer:

Greatest Common Factor of 7105 and 7110 = 5

Step 1: Find the prime factorization of 7105

7105 = 5 x 7 x 7 x 29

Step 2: Find the prime factorization of 7110

7110 = 2 x 3 x 3 x 5 x 79

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 7105 and 7110 is 5