Greatest Common Factor of 8029 and 8036

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 8029, 8036 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8029 and 8036 is 7.

GCF(8029,8036) = 7

GCF of 8029 and 8036

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

GCF of:
and

Greatest Common Factor of 8029 and 8036

GCF of 8029 and 8036 is 7

Prime Factorization of 8029


7 8029
31 1147
37 37
1

Prime factors of 8029 are 7,31,37. Prime factorization of 8029 in exponential form is:

8029 = 71×311×371

Prime Factorization of 8036


2 8036
2 4018
7 2009
7 287
41 41
1

Prime factors of 8036 are 2,7,41. Prime factorization of 8036 in exponential form is:

8036 = 22×72×411

∴ So by taking common prime factors GCF of 8029 and 8036 is 7

Greatest Common Factor of 8029 and 8036 by matching factors method

Factors of 8029

List of positive integer factors of 8029 that divides 8029 without a remainder.

1,7,31,37,217,259,1147,8029

Factors of 8036

List of positive integer factors of 8036 that divides 8036 without a remainder.

1,2,4,7,14,28,41,49,82,98,164,196,287,574,1148,2009,4018,8036

Greatest Common Factor

We found the factors and prime factorization of 8029 and 8036. The biggest common factor number is the GCF number.
So the greatest common factor 8029 and 8036 is 7.

Also check out the Least Common Multiple of 8029 and 8036

Properties of GCF 8029 and 8036

(i) The GCF of 8029 and 8036 is associative

GCF of 8029 and 8036 = GCF of 8036 and 8029

Related Greatest Common Factor of 8029

Related Greatest Common Factor of 8036

Frequently Asked Questions on GCF of 8029 and 8036

1. What is the GCF of 8029 and 8036?

Answer: GCF of 8029 and 8036 is 7.

2. What are the Factors of 8029?

Answer: Factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029. There are 8 integers that are factors of 8029. The greatest factor of 8029 is 8029.

3. What are the Factors of 8036?

Answer: Factors of 8036 are 1, 2, 4, 7, 14, 28, 41, 49, 82, 98, 164, 196, 287, 574, 1148, 2009, 4018, 8036. There are 18 integers that are factors of 8036. The greatest factor of 8036 is 8036.

4. How to Find the GCF of 8029 and 8036?

Answer:

Greatest Common Factor of 8029 and 8036 = 7

Step 1: Find the prime factorization of 8029

8029 = 7 x 31 x 37

Step 2: Find the prime factorization of 8036

8036 = 2 x 2 x 7 x 7 x 41

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8029 and 8036 is 7