What is the Greatest Common Factor of 73800 and 73820?

Greatest common factor (GCF) of 73800 and 73820 is 20.

GCF(73800,73820) = 20

We will now calculate the prime factors of 73800 and 73820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73800 and 73820.

How to find the GCF of 73800 and 73820?

We will first find the prime factorization of 73800 and 73820. After we will calculate the factors of 73800 and 73820 and find the biggest common factor number .

Step-1: Prime Factorization of 73800

Prime factors of 73800 are 2, 3, 5, 41. Prime factorization of 73800 in exponential form is:

73800 = 2³ × 3² × 5² × 41¹

Step-2: Prime Factorization of 73820

Prime factors of 73820 are 2, 5, 3691. Prime factorization of 73820 in exponential form is:

73820 = 2² × 5¹ × 3691¹

Step-3: Factors of 73800

List of positive integer factors of 73800 that divides 73800 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 41, 45, 50, 60, 72, 75, 82, 90, 100, 120, 123, 150, 164, 180, 200, 205, 225, 246, 300, 328, 360, 369, 410, 450, 492, 600, 615, 738, 820, 900, 984, 1025, 1230, 1476, 1640, 1800, 1845, 2050, 2460, 2952, 3075, 3690, 4100, 4920, 6150, 7380, 8200, 9225, 12300, 14760, 18450, 24600, 36900

Step-4: Factors of 73820

List of positive integer factors of 73820 that divides 73800 without a remainder.

1, 2, 4, 5, 10, 20, 3691, 7382, 14764, 18455, 36910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73800 and 73820. The biggest common factor number is the GCF number.
So the greatest common factor 73800 and 73820 is 20.

Also check out the Least Common Multiple of 73800 and 73820