Greatest Common Factor of 10040 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 10040, 10044 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10040 and 10044 is 4.

GCF(10040,10044) = 4

GCF of 10040 and 10044

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

GCF of:
and

Greatest Common Factor of 10040 and 10044

GCF of 10040 and 10044 is 4

Prime Factorization of 10040


2 10040
2 5020
2 2510
5 1255
251 251
1

Prime factors of 10040 are 2,5,251. Prime factorization of 10040 in exponential form is:

10040 = 23×51×2511

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 10040 and 10044 is 4

Greatest Common Factor of 10040 and 10044 by matching factors method

Factors of 10040

List of positive integer factors of 10040 that divides 10040 without a remainder.

1,2,4,5,8,10,20,40,251,502,1004,1255,2008,2510,5020,10040

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 10040 and 10044. The biggest common factor number is the GCF number.
So the greatest common factor 10040 and 10044 is 4.

Also check out the Least Common Multiple of 10040 and 10044

Properties of GCF 10040 and 10044

(i) The GCF of 10040 and 10044 is associative

GCF of 10040 and 10044 = GCF of 10044 and 10040

Related Greatest Common Factor of 10040

Related Greatest Common Factor of 10044

Frequently Asked Questions on GCF of 10040 and 10044

1. What is the GCF of 10040 and 10044?

Answer: GCF of 10040 and 10044 is 4.

2. What are the Factors of 10040?

Answer: Factors of 10040 are 1, 2, 4, 5, 8, 10, 20, 40, 251, 502, 1004, 1255, 2008, 2510, 5020, 10040. There are 16 integers that are factors of 10040. The greatest factor of 10040 is 10040.

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 10040 and 10044?

Answer:

Greatest Common Factor of 10040 and 10044 = 4

Step 1: Find the prime factorization of 10040

10040 = 2 x 2 x 2 x 5 x 251

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 10040 and 10044 is 4