Greatest Common Factor of 8052 and 8058

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 8052, 8058 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8052 and 8058 is 6.

GCF(8052,8058) = 6

GCF of 8052 and 8058

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

GCF of:
and

Greatest Common Factor of 8052 and 8058

GCF of 8052 and 8058 is 6

Prime Factorization of 8052


2 8052
2 4026
3 2013
11 671
61 61
1

Prime factors of 8052 are 2,3,11,61. Prime factorization of 8052 in exponential form is:

8052 = 22×31×111×611

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

∴ So by taking common prime factors GCF of 8052 and 8058 is 6

Greatest Common Factor of 8052 and 8058 by matching factors method

Factors of 8052

List of positive integer factors of 8052 that divides 8052 without a remainder.

1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052

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

Greatest Common Factor

We found the factors and prime factorization of 8052 and 8058. The biggest common factor number is the GCF number.
So the greatest common factor 8052 and 8058 is 6.

Also check out the Least Common Multiple of 8052 and 8058

Properties of GCF 8052 and 8058

(i) The GCF of 8052 and 8058 is associative

GCF of 8052 and 8058 = GCF of 8058 and 8052

Related Greatest Common Factor of 8052

Related Greatest Common Factor of 8058

Frequently Asked Questions on GCF of 8052 and 8058

1. What is the GCF of 8052 and 8058?

Answer: GCF of 8052 and 8058 is 6.

2. What are the Factors of 8052?

Answer: Factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052. There are 24 integers that are factors of 8052. The greatest factor of 8052 is 8052.

3. 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.

4. How to Find the GCF of 8052 and 8058?

Answer:

Greatest Common Factor of 8052 and 8058 = 6

Step 1: Find the prime factorization of 8052

8052 = 2 x 2 x 3 x 11 x 61

Step 2: Find the prime factorization of 8058

8058 = 2 x 3 x 17 x 79

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8052 and 8058 is 6