What is the Greatest Common Factor of 52800 and 52820?

Greatest common factor (GCF) of 52800 and 52820 is 20.

GCF(52800,52820) = 20

We will now calculate the prime factors of 52800 and 52820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52800 and 52820.

How to find the GCF of 52800 and 52820?

We will first find the prime factorization of 52800 and 52820. After we will calculate the factors of 52800 and 52820 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 52820

Prime factors of 52820 are 2, 5, 19, 139. Prime factorization of 52820 in exponential form is:

52820 = 2² × 5¹ × 19¹ × 139¹

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 52820

List of positive integer factors of 52820 that divides 52800 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 139, 190, 278, 380, 556, 695, 1390, 2641, 2780, 5282, 10564, 13205, 26410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52800 and 52820. The biggest common factor number is the GCF number.
So the greatest common factor 52800 and 52820 is 20.

Also check out the Least Common Multiple of 52800 and 52820