What is the Greatest Common Factor of 52029 and 52044?

Greatest common factor (GCF) of 52029 and 52044 is 3.

GCF(52029,52044) = 3

We will now calculate the prime factors of 52029 and 52044, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52029 and 52044.

How to find the GCF of 52029 and 52044?

We will first find the prime factorization of 52029 and 52044. After we will calculate the factors of 52029 and 52044 and find the biggest common factor number .

Step-1: Prime Factorization of 52029

Prime factors of 52029 are 3, 41, 47. Prime factorization of 52029 in exponential form is:

52029 = 3³ × 41¹ × 47¹

Step-2: Prime Factorization of 52044

Prime factors of 52044 are 2, 3, 4337. Prime factorization of 52044 in exponential form is:

52044 = 2² × 3¹ × 4337¹

Step-3: Factors of 52029

List of positive integer factors of 52029 that divides 52029 without a remainder.

1, 3, 9, 27, 41, 47, 123, 141, 369, 423, 1107, 1269, 1927, 5781, 17343

Step-4: Factors of 52044

List of positive integer factors of 52044 that divides 52029 without a remainder.

1, 2, 3, 4, 6, 12, 4337, 8674, 13011, 17348, 26022

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52029 and 52044. The biggest common factor number is the GCF number.
So the greatest common factor 52029 and 52044 is 3.

Also check out the Least Common Multiple of 52029 and 52044