What is the Greatest Common Factor of 72800 and 72813?

Greatest common factor (GCF) of 72800 and 72813 is 13.

GCF(72800,72813) = 13

We will now calculate the prime factors of 72800 and 72813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72800 and 72813.

How to find the GCF of 72800 and 72813?

We will first find the prime factorization of 72800 and 72813. After we will calculate the factors of 72800 and 72813 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 72813

Prime factors of 72813 are 3, 13, 1867. Prime factorization of 72813 in exponential form is:

72813 = 3¹ × 13¹ × 1867¹

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 72813

List of positive integer factors of 72813 that divides 72800 without a remainder.

1, 3, 13, 39, 1867, 5601, 24271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72800 and 72813. The biggest common factor number is the GCF number.
So the greatest common factor 72800 and 72813 is 13.

Also check out the Least Common Multiple of 72800 and 72813