What is the Greatest Common Factor of 52530 and 52548?

Greatest common factor (GCF) of 52530 and 52548 is 6.

GCF(52530,52548) = 6

We will now calculate the prime factors of 52530 and 52548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52530 and 52548.

How to find the GCF of 52530 and 52548?

We will first find the prime factorization of 52530 and 52548. After we will calculate the factors of 52530 and 52548 and find the biggest common factor number .

Step-1: Prime Factorization of 52530

Prime factors of 52530 are 2, 3, 5, 17, 103. Prime factorization of 52530 in exponential form is:

52530 = 2¹ × 3¹ × 5¹ × 17¹ × 103¹

Step-2: Prime Factorization of 52548

Prime factors of 52548 are 2, 3, 29, 151. Prime factorization of 52548 in exponential form is:

52548 = 2² × 3¹ × 29¹ × 151¹

Step-3: Factors of 52530

List of positive integer factors of 52530 that divides 52530 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 103, 170, 206, 255, 309, 510, 515, 618, 1030, 1545, 1751, 3090, 3502, 5253, 8755, 10506, 17510, 26265

Step-4: Factors of 52548

List of positive integer factors of 52548 that divides 52530 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 151, 174, 302, 348, 453, 604, 906, 1812, 4379, 8758, 13137, 17516, 26274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52530 and 52548. The biggest common factor number is the GCF number.
So the greatest common factor 52530 and 52548 is 6.

Also check out the Least Common Multiple of 52530 and 52548