What is the Greatest Common Factor of 72800 and 72820?

Greatest common factor (GCF) of 72800 and 72820 is 20.

GCF(72800,72820) = 20

We will now calculate the prime factors of 72800 and 72820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72800 and 72820.

How to find the GCF of 72800 and 72820?

We will first find the prime factorization of 72800 and 72820. After we will calculate the factors of 72800 and 72820 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 72820

Prime factors of 72820 are 2, 5, 11, 331. Prime factorization of 72820 in exponential form is:

72820 = 2² × 5¹ × 11¹ × 331¹

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 72820

List of positive integer factors of 72820 that divides 72800 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 331, 662, 1324, 1655, 3310, 3641, 6620, 7282, 14564, 18205, 36410

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72800 and 72820. The biggest common factor number is the GCF number.
So the greatest common factor 72800 and 72820 is 20.

Also check out the Least Common Multiple of 72800 and 72820