Greatest Common Factor of 10044 and 10047

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 10044, 10047 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10044 and 10047 is 3.

GCF(10044,10047) = 3

GCF of 10044 and 10047

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

GCF of:
and

Greatest Common Factor of 10044 and 10047

GCF of 10044 and 10047 is 3

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

Prime Factorization of 10047


3 10047
17 3349
197 197
1

Prime factors of 10047 are 3,17,197. Prime factorization of 10047 in exponential form is:

10047 = 31×171×1971

∴ So by taking common prime factors GCF of 10044 and 10047 is 3

Greatest Common Factor of 10044 and 10047 by matching factors method

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

Factors of 10047

List of positive integer factors of 10047 that divides 10047 without a remainder.

1,3,17,51,197,591,3349,10047

Greatest Common Factor

We found the factors and prime factorization of 10044 and 10047. The biggest common factor number is the GCF number.
So the greatest common factor 10044 and 10047 is 3.

Also check out the Least Common Multiple of 10044 and 10047

Properties of GCF 10044 and 10047

(i) The GCF of 10044 and 10047 is associative

GCF of 10044 and 10047 = GCF of 10047 and 10044

Related Greatest Common Factor of 10044

Related Greatest Common Factor of 10047

Frequently Asked Questions on GCF of 10044 and 10047

1. What is the GCF of 10044 and 10047?

Answer: GCF of 10044 and 10047 is 3.

2. 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.

3. What are the Factors of 10047?

Answer: Factors of 10047 are 1, 3, 17, 51, 197, 591, 3349, 10047. There are 8 integers that are factors of 10047. The greatest factor of 10047 is 10047.

4. How to Find the GCF of 10044 and 10047?

Answer:

Greatest Common Factor of 10044 and 10047 = 3

Step 1: Find the prime factorization of 10044

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

Step 2: Find the prime factorization of 10047

10047 = 3 x 17 x 197

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

GCF = 3

Step 4: Therefore, the greatest common factor of 10044 and 10047 is 3