Greatest Common Factor of 10044 and 10052

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, 10052 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10044 and 10052 is 4.

GCF(10044,10052) = 4

GCF of 10044 and 10052

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

GCF of:
and

Greatest Common Factor of 10044 and 10052

GCF of 10044 and 10052 is 4

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 10052


2 10052
2 5026
7 2513
359 359
1

Prime factors of 10052 are 2,7,359. Prime factorization of 10052 in exponential form is:

10052 = 22×71×3591

∴ So by taking common prime factors GCF of 10044 and 10052 is 4

Greatest Common Factor of 10044 and 10052 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 10052

List of positive integer factors of 10052 that divides 10052 without a remainder.

1,2,4,7,14,28,359,718,1436,2513,5026,10052

Greatest Common Factor

We found the factors and prime factorization of 10044 and 10052. The biggest common factor number is the GCF number.
So the greatest common factor 10044 and 10052 is 4.

Also check out the Least Common Multiple of 10044 and 10052

Properties of GCF 10044 and 10052

(i) The GCF of 10044 and 10052 is associative

GCF of 10044 and 10052 = GCF of 10052 and 10044

Related Greatest Common Factor of 10044

Related Greatest Common Factor of 10052

Frequently Asked Questions on GCF of 10044 and 10052

1. What is the GCF of 10044 and 10052?

Answer: GCF of 10044 and 10052 is 4.

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 10052?

Answer: Factors of 10052 are 1, 2, 4, 7, 14, 28, 359, 718, 1436, 2513, 5026, 10052. There are 12 integers that are factors of 10052. The greatest factor of 10052 is 10052.

4. How to Find the GCF of 10044 and 10052?

Answer:

Greatest Common Factor of 10044 and 10052 = 4

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 10052

10052 = 2 x 2 x 7 x 359

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 10044 and 10052 is 4