What is the Greatest Common Factor of 52533 and 52546?

Greatest common factor (GCF) of 52533 and 52546 is 13.

GCF(52533,52546) = 13

We will now calculate the prime factors of 52533 and 52546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52533 and 52546.

How to find the GCF of 52533 and 52546?

We will first find the prime factorization of 52533 and 52546. After we will calculate the factors of 52533 and 52546 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 52546

Prime factors of 52546 are 2, 13, 43, 47. Prime factorization of 52546 in exponential form is:

52546 = 2¹ × 13¹ × 43¹ × 47¹

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 52546

List of positive integer factors of 52546 that divides 52533 without a remainder.

1, 2, 13, 26, 43, 47, 86, 94, 559, 611, 1118, 1222, 2021, 4042, 26273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52533 and 52546. The biggest common factor number is the GCF number.
So the greatest common factor 52533 and 52546 is 13.

Also check out the Least Common Multiple of 52533 and 52546