What is the Greatest Common Factor of 52796 and 52800?

Greatest common factor (GCF) of 52796 and 52800 is 4.

GCF(52796,52800) = 4

We will now calculate the prime factors of 52796 and 52800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52796 and 52800.

How to find the GCF of 52796 and 52800?

We will first find the prime factorization of 52796 and 52800. After we will calculate the factors of 52796 and 52800 and find the biggest common factor number .

Step-1: Prime Factorization of 52796

Prime factors of 52796 are 2, 67, 197. Prime factorization of 52796 in exponential form is:

52796 = 2² × 67¹ × 197¹

Step-2: 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-3: Factors of 52796

List of positive integer factors of 52796 that divides 52796 without a remainder.

1, 2, 4, 67, 134, 197, 268, 394, 788, 13199, 26398

Step-4: Factors of 52800

List of positive integer factors of 52800 that divides 52796 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52796 and 52800. The biggest common factor number is the GCF number.
So the greatest common factor 52796 and 52800 is 4.

Also check out the Least Common Multiple of 52796 and 52800