What is the Greatest Common Factor of 73800 and 73814?

Greatest common factor (GCF) of 73800 and 73814 is 2.

GCF(73800,73814) = 2

We will now calculate the prime factors of 73800 and 73814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73800 and 73814.

How to find the GCF of 73800 and 73814?

We will first find the prime factorization of 73800 and 73814. After we will calculate the factors of 73800 and 73814 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 73814

Prime factors of 73814 are 2, 13, 17, 167. Prime factorization of 73814 in exponential form is:

73814 = 2¹ × 13¹ × 17¹ × 167¹

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 73814

List of positive integer factors of 73814 that divides 73800 without a remainder.

1, 2, 13, 17, 26, 34, 167, 221, 334, 442, 2171, 2839, 4342, 5678, 36907

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73800 and 73814. The biggest common factor number is the GCF number.
So the greatest common factor 73800 and 73814 is 2.

Also check out the Least Common Multiple of 73800 and 73814