What is the Greatest Common Factor of 52800 and 52815?

Greatest common factor (GCF) of 52800 and 52815 is 15.

GCF(52800,52815) = 15

We will now calculate the prime factors of 52800 and 52815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52800 and 52815.

How to find the GCF of 52800 and 52815?

We will first find the prime factorization of 52800 and 52815. After we will calculate the factors of 52800 and 52815 and find the biggest common factor number .

Step-1: Prime Factorization of 52800

Prime factors of 52800 are 2, 3, 5, 11. Prime factorization of 52800 in exponential form is:

52800 = 2⁶ × 3¹ × 5² × 11¹

Step-2: Prime Factorization of 52815

Prime factors of 52815 are 3, 5, 7, 503. Prime factorization of 52815 in exponential form is:

52815 = 3¹ × 5¹ × 7¹ × 503¹

Step-3: Factors of 52800

List of positive integer factors of 52800 that divides 52800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 20, 22, 24, 25, 30, 32, 33, 40, 44, 48, 50, 55, 60, 64, 66, 75, 80, 88, 96, 100, 110, 120, 132, 150, 160, 165, 176, 192, 200, 220, 240, 264, 275, 300, 320, 330, 352, 400, 440, 480, 528, 550, 600, 660, 704, 800, 825, 880, 960, 1056, 1100, 1200, 1320, 1600, 1650, 1760, 2112, 2200, 2400, 2640, 3300, 3520, 4400, 4800, 5280, 6600, 8800, 10560, 13200, 17600, 26400

Step-4: Factors of 52815

List of positive integer factors of 52815 that divides 52800 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 503, 1509, 2515, 3521, 7545, 10563, 17605

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52800 and 52815. The biggest common factor number is the GCF number.
So the greatest common factor 52800 and 52815 is 15.

Also check out the Least Common Multiple of 52800 and 52815