Greatest Common Factor of 10028 and 10034

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, 10034 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10028 and 10034 is 2.

GCF(10028,10034) = 2

GCF of 10028 and 10034

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

GCF of:
and

Greatest Common Factor of 10028 and 10034

GCF of 10028 and 10034 is 2

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 10034


2 10034
29 5017
173 173
1

Prime factors of 10034 are 2,29,173. Prime factorization of 10034 in exponential form is:

10034 = 21×291×1731

∴ So by taking common prime factors GCF of 10028 and 10034 is 2

Greatest Common Factor of 10028 and 10034 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 10034

List of positive integer factors of 10034 that divides 10034 without a remainder.

1,2,29,58,173,346,5017,10034

Greatest Common Factor

We found the factors and prime factorization of 10028 and 10034. The biggest common factor number is the GCF number.
So the greatest common factor 10028 and 10034 is 2.

Also check out the Least Common Multiple of 10028 and 10034

Properties of GCF 10028 and 10034

(i) The GCF of 10028 and 10034 is associative

GCF of 10028 and 10034 = GCF of 10034 and 10028

Related Greatest Common Factor of 10028

Related Greatest Common Factor of 10034

Frequently Asked Questions on GCF of 10028 and 10034

1. What is the GCF of 10028 and 10034?

Answer: GCF of 10028 and 10034 is 2.

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 10034?

Answer: Factors of 10034 are 1, 2, 29, 58, 173, 346, 5017, 10034. There are 8 integers that are factors of 10034. The greatest factor of 10034 is 10034.

4. How to Find the GCF of 10028 and 10034?

Answer:

Greatest Common Factor of 10028 and 10034 = 2

Step 1: Find the prime factorization of 10028

10028 = 2 x 2 x 23 x 109

Step 2: Find the prime factorization of 10034

10034 = 2 x 29 x 173

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10028 and 10034 is 2