What is the Greatest Common Factor of 72800 and 72815?

Greatest common factor (GCF) of 72800 and 72815 is 5.

GCF(72800,72815) = 5

We will now calculate the prime factors of 72800 and 72815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72800 and 72815.

How to find the GCF of 72800 and 72815?

We will first find the prime factorization of 72800 and 72815. After we will calculate the factors of 72800 and 72815 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 72815

Prime factors of 72815 are 5, 14563. Prime factorization of 72815 in exponential form is:

72815 = 5¹ × 14563¹

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 72815

List of positive integer factors of 72815 that divides 72800 without a remainder.

1, 5, 14563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72800 and 72815. The biggest common factor number is the GCF number.
So the greatest common factor 72800 and 72815 is 5.

Also check out the Least Common Multiple of 72800 and 72815