What is the Greatest Common Factor of 73392 and 73400?

Greatest common factor (GCF) of 73392 and 73400 is 8.

GCF(73392,73400) = 8

We will now calculate the prime factors of 73392 and 73400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73392 and 73400.

How to find the GCF of 73392 and 73400?

We will first find the prime factorization of 73392 and 73400. After we will calculate the factors of 73392 and 73400 and find the biggest common factor number .

Step-1: Prime Factorization of 73392

Prime factors of 73392 are 2, 3, 11, 139. Prime factorization of 73392 in exponential form is:

73392 = 2⁴ × 3¹ × 11¹ × 139¹

Step-2: 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-3: Factors of 73392

List of positive integer factors of 73392 that divides 73392 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 139, 176, 264, 278, 417, 528, 556, 834, 1112, 1529, 1668, 2224, 3058, 3336, 4587, 6116, 6672, 9174, 12232, 18348, 24464, 36696

Step-4: Factors of 73400

List of positive integer factors of 73400 that divides 73392 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73392 and 73400. The biggest common factor number is the GCF number.
So the greatest common factor 73392 and 73400 is 8.

Also check out the Least Common Multiple of 73392 and 73400