What is the Greatest Common Factor of 52512 and 52530?

Greatest common factor (GCF) of 52512 and 52530 is 6.

GCF(52512,52530) = 6

We will now calculate the prime factors of 52512 and 52530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52512 and 52530.

How to find the GCF of 52512 and 52530?

We will first find the prime factorization of 52512 and 52530. After we will calculate the factors of 52512 and 52530 and find the biggest common factor number .

Step-1: Prime Factorization of 52512

Prime factors of 52512 are 2, 3, 547. Prime factorization of 52512 in exponential form is:

52512 = 2⁵ × 3¹ × 547¹

Step-2: 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-3: Factors of 52512

List of positive integer factors of 52512 that divides 52512 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 547, 1094, 1641, 2188, 3282, 4376, 6564, 8752, 13128, 17504, 26256

Step-4: Factors of 52530

List of positive integer factors of 52530 that divides 52512 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52512 and 52530. The biggest common factor number is the GCF number.
So the greatest common factor 52512 and 52530 is 6.

Also check out the Least Common Multiple of 52512 and 52530