What is the Greatest Common Factor of 52029 and 52041?

Greatest common factor (GCF) of 52029 and 52041 is 3.

GCF(52029,52041) = 3

We will now calculate the prime factors of 52029 and 52041, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52029 and 52041.

How to find the GCF of 52029 and 52041?

We will first find the prime factorization of 52029 and 52041. After we will calculate the factors of 52029 and 52041 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 52041

Prime factors of 52041 are 3, 11, 19, 83. Prime factorization of 52041 in exponential form is:

52041 = 3¹ × 11¹ × 19¹ × 83¹

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 52041

List of positive integer factors of 52041 that divides 52029 without a remainder.

1, 3, 11, 19, 33, 57, 83, 209, 249, 627, 913, 1577, 2739, 4731, 17347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52029 and 52041. The biggest common factor number is the GCF number.
So the greatest common factor 52029 and 52041 is 3.

Also check out the Least Common Multiple of 52029 and 52041