Greatest Common Factor of 8104 and 8110

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 8104, 8110 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8104 and 8110 is 2.

GCF(8104,8110) = 2

GCF of 8104 and 8110

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

GCF of:
and

Greatest Common Factor of 8104 and 8110

GCF of 8104 and 8110 is 2

Prime Factorization of 8104


2 8104
2 4052
2 2026
1013 1013
1

Prime factors of 8104 are 2,1013. Prime factorization of 8104 in exponential form is:

8104 = 23×10131

Prime Factorization of 8110


2 8110
5 4055
811 811
1

Prime factors of 8110 are 2,5,811. Prime factorization of 8110 in exponential form is:

8110 = 21×51×8111

∴ So by taking common prime factors GCF of 8104 and 8110 is 2

Greatest Common Factor of 8104 and 8110 by matching factors method

Factors of 8104

List of positive integer factors of 8104 that divides 8104 without a remainder.

1,2,4,8,1013,2026,4052,8104

Factors of 8110

List of positive integer factors of 8110 that divides 8110 without a remainder.

1,2,5,10,811,1622,4055,8110

Greatest Common Factor

We found the factors and prime factorization of 8104 and 8110. The biggest common factor number is the GCF number.
So the greatest common factor 8104 and 8110 is 2.

Also check out the Least Common Multiple of 8104 and 8110

Properties of GCF 8104 and 8110

(i) The GCF of 8104 and 8110 is associative

GCF of 8104 and 8110 = GCF of 8110 and 8104

Related Greatest Common Factor of 8104

Related Greatest Common Factor of 8110

Frequently Asked Questions on GCF of 8104 and 8110

1. What is the GCF of 8104 and 8110?

Answer: GCF of 8104 and 8110 is 2.

2. What are the Factors of 8104?

Answer: Factors of 8104 are 1, 2, 4, 8, 1013, 2026, 4052, 8104. There are 8 integers that are factors of 8104. The greatest factor of 8104 is 8104.

3. What are the Factors of 8110?

Answer: Factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110. There are 8 integers that are factors of 8110. The greatest factor of 8110 is 8110.

4. How to Find the GCF of 8104 and 8110?

Answer:

Greatest Common Factor of 8104 and 8110 = 2

Step 1: Find the prime factorization of 8104

8104 = 2 x 2 x 2 x 1013

Step 2: Find the prime factorization of 8110

8110 = 2 x 5 x 811

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8104 and 8110 is 2