What is the Greatest Common Factor of 73400 and 73418?

Greatest common factor (GCF) of 73400 and 73418 is 2.

GCF(73400,73418) = 2

We will now calculate the prime factors of 73400 and 73418, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73400 and 73418.

How to find the GCF of 73400 and 73418?

We will first find the prime factorization of 73400 and 73418. After we will calculate the factors of 73400 and 73418 and find the biggest common factor number .

Step-1: Prime Factorization of 73400

Prime factors of 73400 are 2, 5, 367. Prime factorization of 73400 in exponential form is:

73400 = 2³ × 5² × 367¹

Step-2: Prime Factorization of 73418

Prime factors of 73418 are 2, 36709. Prime factorization of 73418 in exponential form is:

73418 = 2¹ × 36709¹

Step-3: Factors of 73400

List of positive integer factors of 73400 that divides 73400 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 367, 734, 1468, 1835, 2936, 3670, 7340, 9175, 14680, 18350, 36700

Step-4: Factors of 73418

List of positive integer factors of 73418 that divides 73400 without a remainder.

1, 2, 36709

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73400 and 73418. The biggest common factor number is the GCF number.
So the greatest common factor 73400 and 73418 is 2.

Also check out the Least Common Multiple of 73400 and 73418