Greatest Common Factor of 10036 and 10044

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 10036, 10044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10036 and 10044 is 4.

GCF(10036,10044) = 4

GCF of 10036 and 10044

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

GCF of:
and

Greatest Common Factor of 10036 and 10044

GCF of 10036 and 10044 is 4

Prime Factorization of 10036


2 10036
2 5018
13 2509
193 193
1

Prime factors of 10036 are 2,13,193. Prime factorization of 10036 in exponential form is:

10036 = 22×131×1931

Prime Factorization of 10044


2 10044
2 5022
3 2511
3 837
3 279
3 93
31 31
1

Prime factors of 10044 are 2,3,31. Prime factorization of 10044 in exponential form is:

10044 = 22×34×311

∴ So by taking common prime factors GCF of 10036 and 10044 is 4

Greatest Common Factor of 10036 and 10044 by matching factors method

Factors of 10036

List of positive integer factors of 10036 that divides 10036 without a remainder.

1,2,4,13,26,52,193,386,772,2509,5018,10036

Factors of 10044

List of positive integer factors of 10044 that divides 10044 without a remainder.

1,2,3,4,6,9,12,18,27,31,36,54,62,81,93,108,124,162,186,279,324,372,558,837,1116,1674,2511,3348,5022,10044

Greatest Common Factor

We found the factors and prime factorization of 10036 and 10044. The biggest common factor number is the GCF number.
So the greatest common factor 10036 and 10044 is 4.

Also check out the Least Common Multiple of 10036 and 10044

Properties of GCF 10036 and 10044

(i) The GCF of 10036 and 10044 is associative

GCF of 10036 and 10044 = GCF of 10044 and 10036

Related Greatest Common Factor of 10036

Related Greatest Common Factor of 10044

Frequently Asked Questions on GCF of 10036 and 10044

1. What is the GCF of 10036 and 10044?

Answer: GCF of 10036 and 10044 is 4.

2. What are the Factors of 10036?

Answer: Factors of 10036 are 1, 2, 4, 13, 26, 52, 193, 386, 772, 2509, 5018, 10036. There are 12 integers that are factors of 10036. The greatest factor of 10036 is 10036.

3. What are the Factors of 10044?

Answer: Factors of 10044 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 81, 93, 108, 124, 162, 186, 279, 324, 372, 558, 837, 1116, 1674, 2511, 3348, 5022, 10044. There are 30 integers that are factors of 10044. The greatest factor of 10044 is 10044.

4. How to Find the GCF of 10036 and 10044?

Answer:

Greatest Common Factor of 10036 and 10044 = 4

Step 1: Find the prime factorization of 10036

10036 = 2 x 2 x 13 x 193

Step 2: Find the prime factorization of 10044

10044 = 2 x 2 x 3 x 3 x 3 x 3 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 10036 and 10044 is 4