What is the Greatest Common Factor of 72800 and 72805?

Greatest common factor (GCF) of 72800 and 72805 is 5.

GCF(72800,72805) = 5

We will now calculate the prime factors of 72800 and 72805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72800 and 72805.

How to find the GCF of 72800 and 72805?

We will first find the prime factorization of 72800 and 72805. After we will calculate the factors of 72800 and 72805 and find the biggest common factor number .

Step-1: Prime Factorization of 72800

Prime factors of 72800 are 2, 5, 7, 13. Prime factorization of 72800 in exponential form is:

72800 = 2⁵ × 5² × 7¹ × 13¹

Step-2: Prime Factorization of 72805

Prime factors of 72805 are 5, 14561. Prime factorization of 72805 in exponential form is:

72805 = 5¹ × 14561¹

Step-3: Factors of 72800

List of positive integer factors of 72800 that divides 72800 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 25, 26, 28, 32, 35, 40, 50, 52, 56, 65, 70, 80, 91, 100, 104, 112, 130, 140, 160, 175, 182, 200, 208, 224, 260, 280, 325, 350, 364, 400, 416, 455, 520, 560, 650, 700, 728, 800, 910, 1040, 1120, 1300, 1400, 1456, 1820, 2080, 2275, 2600, 2800, 2912, 3640, 4550, 5200, 5600, 7280, 9100, 10400, 14560, 18200, 36400

Step-4: Factors of 72805

List of positive integer factors of 72805 that divides 72800 without a remainder.

1, 5, 14561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72800 and 72805. The biggest common factor number is the GCF number.
So the greatest common factor 72800 and 72805 is 5.

Also check out the Least Common Multiple of 72800 and 72805