Greatest Common Factor of 8029 and 8032

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, 8032 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8029 and 8032 is 1.

GCF(8029,8032) = 1

GCF of 8029 and 8032

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

GCF of:
and

Greatest Common Factor of 8029 and 8032

GCF of 8029 and 8032 is 1

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 8032


2 8032
2 4016
2 2008
2 1004
2 502
251 251
1

Prime factors of 8032 are 2,251. Prime factorization of 8032 in exponential form is:

8032 = 25×2511

∴ So by taking common prime factors GCF of 8029 and 8032 is 1

Greatest Common Factor of 8029 and 8032 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 8032

List of positive integer factors of 8032 that divides 8032 without a remainder.

1,2,4,8,16,32,251,502,1004,2008,4016,8032

Greatest Common Factor

We found the factors and prime factorization of 8029 and 8032. The biggest common factor number is the GCF number.
So the greatest common factor 8029 and 8032 is 1.

Also check out the Least Common Multiple of 8029 and 8032

Properties of GCF 8029 and 8032

(i) The GCF of 8029 and 8032 is associative

GCF of 8029 and 8032 = GCF of 8032 and 8029

Related Greatest Common Factor of 8029

Related Greatest Common Factor of 8032

Frequently Asked Questions on GCF of 8029 and 8032

1. What is the GCF of 8029 and 8032?

Answer: GCF of 8029 and 8032 is 1.

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 8032?

Answer: Factors of 8032 are 1, 2, 4, 8, 16, 32, 251, 502, 1004, 2008, 4016, 8032. There are 12 integers that are factors of 8032. The greatest factor of 8032 is 8032.

4. How to Find the GCF of 8029 and 8032?

Answer:

Greatest Common Factor of 8029 and 8032 = 1

Step 1: Find the prime factorization of 8029

8029 = 7 x 31 x 37

Step 2: Find the prime factorization of 8032

8032 = 2 x 2 x 2 x 2 x 2 x 251

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 8029 and 8032 is 1