Greatest Common Factor of 36028 and 36029

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 36028, 36029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 36028 and 36029 is 1.

GCF(36028,36029) = 1

GCF of 36028 and 36029

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

GCF of:
and

Greatest Common Factor of 36028 and 36029

GCF of 36028 and 36029 is 1

Prime Factorization of 36028


2 36028
2 18014
9007 9007
1

Prime factors of 36028 are 2,9007. Prime factorization of 36028 in exponential form is:

36028 = 22×90071

Prime Factorization of 36029


7 36029
5147 5147
1

Prime factors of 36029 are 7,5147. Prime factorization of 36029 in exponential form is:

36029 = 71×51471

∴ So by taking common prime factors GCF of 36028 and 36029 is 1

Greatest Common Factor of 36028 and 36029 by matching factors method

Factors of 36028

List of positive integer factors of 36028 that divides 36028 without a remainder.

1,2,4,9007,18014,36028

Factors of 36029

List of positive integer factors of 36029 that divides 36029 without a remainder.

1,7,5147,36029

Greatest Common Factor

We found the factors and prime factorization of 36028 and 36029. The biggest common factor number is the GCF number.
So the greatest common factor 36028 and 36029 is 1.

Also check out the Least Common Multiple of 36028 and 36029

Properties of GCF 36028 and 36029

(i) The GCF of 36028 and 36029 is associative

GCF of 36028 and 36029 = GCF of 36029 and 36028

Related Greatest Common Factor of 36028

Related Greatest Common Factor of 36029

Frequently Asked Questions on GCF of 36028 and 36029

1. What is the GCF of 36028 and 36029?

Answer: GCF of 36028 and 36029 is 1.

2. What are the Factors of 36028?

Answer: Factors of 36028 are 1, 2, 4, 9007, 18014, 36028. There are 6 integers that are factors of 36028. The greatest factor of 36028 is 36028.

3. What are the Factors of 36029?

Answer: Factors of 36029 are 1, 7, 5147, 36029. There are 4 integers that are factors of 36029. The greatest factor of 36029 is 36029.

4. How to Find the GCF of 36028 and 36029?

Answer:

Greatest Common Factor of 36028 and 36029 = 1

Step 1: Find the prime factorization of 36028

36028 = 2 x 2 x 9007

Step 2: Find the prime factorization of 36029

36029 = 7 x 5147

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 36028 and 36029 is 1