Greatest Common Factor of 10028 and 10029

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 10028, 10029 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10028 and 10029 is 1.

GCF(10028,10029) = 1

GCF of 10028 and 10029

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

GCF of:
and

Greatest Common Factor of 10028 and 10029

GCF of 10028 and 10029 is 1

Prime Factorization of 10028


2 10028
2 5014
23 2507
109 109
1

Prime factors of 10028 are 2,23,109. Prime factorization of 10028 in exponential form is:

10028 = 22×231×1091

Prime Factorization of 10029


3 10029
3343 3343
1

Prime factors of 10029 are 3,3343. Prime factorization of 10029 in exponential form is:

10029 = 31×33431

∴ So by taking common prime factors GCF of 10028 and 10029 is 1

Greatest Common Factor of 10028 and 10029 by matching factors method

Factors of 10028

List of positive integer factors of 10028 that divides 10028 without a remainder.

1,2,4,23,46,92,109,218,436,2507,5014,10028

Factors of 10029

List of positive integer factors of 10029 that divides 10029 without a remainder.

1,3,3343,10029

Greatest Common Factor

We found the factors and prime factorization of 10028 and 10029. The biggest common factor number is the GCF number.
So the greatest common factor 10028 and 10029 is 1.

Also check out the Least Common Multiple of 10028 and 10029

Properties of GCF 10028 and 10029

(i) The GCF of 10028 and 10029 is associative

GCF of 10028 and 10029 = GCF of 10029 and 10028

Related Greatest Common Factor of 10028

Related Greatest Common Factor of 10029

Frequently Asked Questions on GCF of 10028 and 10029

1. What is the GCF of 10028 and 10029?

Answer: GCF of 10028 and 10029 is 1.

2. What are the Factors of 10028?

Answer: Factors of 10028 are 1, 2, 4, 23, 46, 92, 109, 218, 436, 2507, 5014, 10028. There are 12 integers that are factors of 10028. The greatest factor of 10028 is 10028.

3. What are the Factors of 10029?

Answer: Factors of 10029 are 1, 3, 3343, 10029. There are 4 integers that are factors of 10029. The greatest factor of 10029 is 10029.

4. How to Find the GCF of 10028 and 10029?

Answer:

Greatest Common Factor of 10028 and 10029 = 1

Step 1: Find the prime factorization of 10028

10028 = 2 x 2 x 23 x 109

Step 2: Find the prime factorization of 10029

10029 = 3 x 3343

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 10028 and 10029 is 1