What is the Greatest Common Factor of 72787 and 72800?

Greatest common factor (GCF) of 72787 and 72800 is 13.

GCF(72787,72800) = 13

We will now calculate the prime factors of 72787 and 72800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72787 and 72800.

How to find the GCF of 72787 and 72800?

We will first find the prime factorization of 72787 and 72800. After we will calculate the factors of 72787 and 72800 and find the biggest common factor number .

Step-1: Prime Factorization of 72787

Prime factors of 72787 are 11, 13, 509. Prime factorization of 72787 in exponential form is:

72787 = 11¹ × 13¹ × 509¹

Step-2: 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-3: Factors of 72787

List of positive integer factors of 72787 that divides 72787 without a remainder.

1, 11, 13, 143, 509, 5599, 6617

Step-4: Factors of 72800

List of positive integer factors of 72800 that divides 72787 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72787 and 72800. The biggest common factor number is the GCF number.
So the greatest common factor 72787 and 72800 is 13.

Also check out the Least Common Multiple of 72787 and 72800