What is the Greatest Common Factor of 52533 and 52539?

Greatest common factor (GCF) of 52533 and 52539 is 3.

GCF(52533,52539) = 3

We will now calculate the prime factors of 52533 and 52539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52533 and 52539.

How to find the GCF of 52533 and 52539?

We will first find the prime factorization of 52533 and 52539. After we will calculate the factors of 52533 and 52539 and find the biggest common factor number .

Step-1: Prime Factorization of 52533

Prime factors of 52533 are 3, 13, 449. Prime factorization of 52533 in exponential form is:

52533 = 3² × 13¹ × 449¹

Step-2: Prime Factorization of 52539

Prime factors of 52539 are 3, 83, 211. Prime factorization of 52539 in exponential form is:

52539 = 3¹ × 83¹ × 211¹

Step-3: Factors of 52533

List of positive integer factors of 52533 that divides 52533 without a remainder.

1, 3, 9, 13, 39, 117, 449, 1347, 4041, 5837, 17511

Step-4: Factors of 52539

List of positive integer factors of 52539 that divides 52533 without a remainder.

1, 3, 83, 211, 249, 633, 17513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52533 and 52539. The biggest common factor number is the GCF number.
So the greatest common factor 52533 and 52539 is 3.

Also check out the Least Common Multiple of 52533 and 52539