Greatest Common Factor of 8049 and 8052

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 8049, 8052 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8049 and 8052 is 3.

GCF(8049,8052) = 3

GCF of 8049 and 8052

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

GCF of:
and

Greatest Common Factor of 8049 and 8052

GCF of 8049 and 8052 is 3

Prime Factorization of 8049


3 8049
2683 2683
1

Prime factors of 8049 are 3,2683. Prime factorization of 8049 in exponential form is:

8049 = 31×26831

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

∴ So by taking common prime factors GCF of 8049 and 8052 is 3

Greatest Common Factor of 8049 and 8052 by matching factors method

Factors of 8049

List of positive integer factors of 8049 that divides 8049 without a remainder.

1,3,2683,8049

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

Greatest Common Factor

We found the factors and prime factorization of 8049 and 8052. The biggest common factor number is the GCF number.
So the greatest common factor 8049 and 8052 is 3.

Also check out the Least Common Multiple of 8049 and 8052

Properties of GCF 8049 and 8052

(i) The GCF of 8049 and 8052 is associative

GCF of 8049 and 8052 = GCF of 8052 and 8049

Related Greatest Common Factor of 8049

Related Greatest Common Factor of 8052

Frequently Asked Questions on GCF of 8049 and 8052

1. What is the GCF of 8049 and 8052?

Answer: GCF of 8049 and 8052 is 3.

2. What are the Factors of 8049?

Answer: Factors of 8049 are 1, 3, 2683, 8049. There are 4 integers that are factors of 8049. The greatest factor of 8049 is 8049.

3. 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.

4. How to Find the GCF of 8049 and 8052?

Answer:

Greatest Common Factor of 8049 and 8052 = 3

Step 1: Find the prime factorization of 8049

8049 = 3 x 2683

Step 2: Find the prime factorization of 8052

8052 = 2 x 2 x 3 x 11 x 61

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8049 and 8052 is 3