Greatest Common Factor of 10040 and 10045

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, 10045 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10040 and 10045 is 5.

GCF(10040,10045) = 5

GCF of 10040 and 10045

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

GCF of:
and

Greatest Common Factor of 10040 and 10045

GCF of 10040 and 10045 is 5

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 10045


5 10045
7 2009
7 287
41 41
1

Prime factors of 10045 are 5,7,41. Prime factorization of 10045 in exponential form is:

10045 = 51×72×411

∴ So by taking common prime factors GCF of 10040 and 10045 is 5

Greatest Common Factor of 10040 and 10045 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 10045

List of positive integer factors of 10045 that divides 10045 without a remainder.

1,5,7,35,41,49,205,245,287,1435,2009,10045

Greatest Common Factor

We found the factors and prime factorization of 10040 and 10045. The biggest common factor number is the GCF number.
So the greatest common factor 10040 and 10045 is 5.

Also check out the Least Common Multiple of 10040 and 10045

Properties of GCF 10040 and 10045

(i) The GCF of 10040 and 10045 is associative

GCF of 10040 and 10045 = GCF of 10045 and 10040

Related Greatest Common Factor of 10040

Related Greatest Common Factor of 10045

Frequently Asked Questions on GCF of 10040 and 10045

1. What is the GCF of 10040 and 10045?

Answer: GCF of 10040 and 10045 is 5.

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 10045?

Answer: Factors of 10045 are 1, 5, 7, 35, 41, 49, 205, 245, 287, 1435, 2009, 10045. There are 12 integers that are factors of 10045. The greatest factor of 10045 is 10045.

4. How to Find the GCF of 10040 and 10045?

Answer:

Greatest Common Factor of 10040 and 10045 = 5

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 10045

10045 = 5 x 7 x 7 x 41

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

GCF = 5

Step 4: Therefore, the greatest common factor of 10040 and 10045 is 5