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What is the Greatest Common Factor of 52800 and 52804?

Greatest common factor (GCF) of 52800 and 52804 is 4.

GCF(52800,52804) = 4

We will now calculate the prime factors of 52800 and 52804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52800 and 52804.

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How to find the GCF of 52800 and 52804?

We will first find the prime factorization of 52800 and 52804. After we will calculate the factors of 52800 and 52804 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 52804

Prime factors of 52804 are 2, 43, 307. Prime factorization of 52804 in exponential form is:

52804 = 22 × 431 × 3071

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 52804

List of positive integer factors of 52804 that divides 52800 without a remainder.

1, 2, 4, 43, 86, 172, 307, 614, 1228, 13201, 26402

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52800 and 52804. The biggest common factor number is the GCF number.
So the greatest common factor 52800 and 52804 is 4.

Also check out the Least Common Multiple of 52800 and 52804