What is the Greatest Common Factor of 52512 and 52520?

Greatest common factor (GCF) of 52512 and 52520 is 8.

GCF(52512,52520) = 8

We will now calculate the prime factors of 52512 and 52520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52512 and 52520.

How to find the GCF of 52512 and 52520?

We will first find the prime factorization of 52512 and 52520. After we will calculate the factors of 52512 and 52520 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 52520

Prime factors of 52520 are 2, 5, 13, 101. Prime factorization of 52520 in exponential form is:

52520 = 2³ × 5¹ × 13¹ × 101¹

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 52520

List of positive integer factors of 52520 that divides 52512 without a remainder.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 101, 104, 130, 202, 260, 404, 505, 520, 808, 1010, 1313, 2020, 2626, 4040, 5252, 6565, 10504, 13130, 26260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52512 and 52520. The biggest common factor number is the GCF number.
So the greatest common factor 52512 and 52520 is 8.

Also check out the Least Common Multiple of 52512 and 52520