Greatest Common Factor of 8058 and 8066

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 8058, 8066 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8058 and 8066 is 2.

GCF(8058,8066) = 2

GCF of 8058 and 8066

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

GCF of:
and

Greatest Common Factor of 8058 and 8066

GCF of 8058 and 8066 is 2

Prime Factorization of 8058


2 8058
3 4029
17 1343
79 79
1

Prime factors of 8058 are 2,3,17,79. Prime factorization of 8058 in exponential form is:

8058 = 21×31×171×791

Prime Factorization of 8066


2 8066
37 4033
109 109
1

Prime factors of 8066 are 2,37,109. Prime factorization of 8066 in exponential form is:

8066 = 21×371×1091

∴ So by taking common prime factors GCF of 8058 and 8066 is 2

Greatest Common Factor of 8058 and 8066 by matching factors method

Factors of 8058

List of positive integer factors of 8058 that divides 8058 without a remainder.

1,2,3,6,17,34,51,79,102,158,237,474,1343,2686,4029,8058

Factors of 8066

List of positive integer factors of 8066 that divides 8066 without a remainder.

1,2,37,74,109,218,4033,8066

Greatest Common Factor

We found the factors and prime factorization of 8058 and 8066. The biggest common factor number is the GCF number.
So the greatest common factor 8058 and 8066 is 2.

Also check out the Least Common Multiple of 8058 and 8066

Properties of GCF 8058 and 8066

(i) The GCF of 8058 and 8066 is associative

GCF of 8058 and 8066 = GCF of 8066 and 8058

Related Greatest Common Factor of 8058

Related Greatest Common Factor of 8066

Frequently Asked Questions on GCF of 8058 and 8066

1. What is the GCF of 8058 and 8066?

Answer: GCF of 8058 and 8066 is 2.

2. What are the Factors of 8058?

Answer: Factors of 8058 are 1, 2, 3, 6, 17, 34, 51, 79, 102, 158, 237, 474, 1343, 2686, 4029, 8058. There are 16 integers that are factors of 8058. The greatest factor of 8058 is 8058.

3. What are the Factors of 8066?

Answer: Factors of 8066 are 1, 2, 37, 74, 109, 218, 4033, 8066. There are 8 integers that are factors of 8066. The greatest factor of 8066 is 8066.

4. How to Find the GCF of 8058 and 8066?

Answer:

Greatest Common Factor of 8058 and 8066 = 2

Step 1: Find the prime factorization of 8058

8058 = 2 x 3 x 17 x 79

Step 2: Find the prime factorization of 8066

8066 = 2 x 37 x 109

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 8058 and 8066 is 2