What is the Greatest Common Factor of 10029 and 10044?

Greatest common factor (GCF) of 10029 and 10044 is 3.

GCF(10029,10044) = 3

We will now calculate the prime factors of 10029 and 10044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10029 and 10044.

How to find the GCF of 10029 and 10044?

We will first find the prime factorization of 10029 and 10044. After we will calculate the factors of 10029 and 10044 and find the biggest common factor number .

Step-1: Prime Factorization of 10029

Prime factors of 10029 are 3, 3343. Prime factorization of 10029 in exponential form is:

10029 = 3¹ × 3343¹

Step-2: Prime Factorization of 10044

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

10044 = 2² × 3⁴ × 31¹

Step-3: Factors of 10029

List of positive integer factors of 10029 that divides 10029 without a remainder.

1, 3, 3343

Step-4: Factors of 10044

List of positive integer factors of 10044 that divides 10029 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10029 and 10044. The biggest common factor number is the GCF number.
So the greatest common factor 10029 and 10044 is 3.

Also check out the Least Common Multiple of 10029 and 10044