Greatest Common Factor of 8102 and 8109

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 8102, 8109 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8102 and 8109 is 1.

GCF(8102,8109) = 1

GCF of 8102 and 8109

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

GCF of:
and

Greatest Common Factor of 8102 and 8109

GCF of 8102 and 8109 is 1

Prime Factorization of 8102


2 8102
4051 4051
1

Prime factors of 8102 are 2,4051. Prime factorization of 8102 in exponential form is:

8102 = 21×40511

Prime Factorization of 8109


3 8109
3 2703
17 901
53 53
1

Prime factors of 8109 are 3,17,53. Prime factorization of 8109 in exponential form is:

8109 = 32×171×531

∴ So by taking common prime factors GCF of 8102 and 8109 is 1

Greatest Common Factor of 8102 and 8109 by matching factors method

Factors of 8102

List of positive integer factors of 8102 that divides 8102 without a remainder.

1,2,4051,8102

Factors of 8109

List of positive integer factors of 8109 that divides 8109 without a remainder.

1,3,9,17,51,53,153,159,477,901,2703,8109

Greatest Common Factor

We found the factors and prime factorization of 8102 and 8109. The biggest common factor number is the GCF number.
So the greatest common factor 8102 and 8109 is 1.

Also check out the Least Common Multiple of 8102 and 8109

Properties of GCF 8102 and 8109

(i) The GCF of 8102 and 8109 is associative

GCF of 8102 and 8109 = GCF of 8109 and 8102

Related Greatest Common Factor of 8102

Related Greatest Common Factor of 8109

Frequently Asked Questions on GCF of 8102 and 8109

1. What is the GCF of 8102 and 8109?

Answer: GCF of 8102 and 8109 is 1.

2. What are the Factors of 8102?

Answer: Factors of 8102 are 1, 2, 4051, 8102. There are 4 integers that are factors of 8102. The greatest factor of 8102 is 8102.

3. What are the Factors of 8109?

Answer: Factors of 8109 are 1, 3, 9, 17, 51, 53, 153, 159, 477, 901, 2703, 8109. There are 12 integers that are factors of 8109. The greatest factor of 8109 is 8109.

4. How to Find the GCF of 8102 and 8109?

Answer:

Greatest Common Factor of 8102 and 8109 = 1

Step 1: Find the prime factorization of 8102

8102 = 2 x 4051

Step 2: Find the prime factorization of 8109

8109 = 3 x 3 x 17 x 53

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 8102 and 8109 is 1