What is the Greatest Common Factor of 73400 and 73415?

Greatest common factor (GCF) of 73400 and 73415 is 5.

GCF(73400,73415) = 5

We will now calculate the prime factors of 73400 and 73415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73400 and 73415.

How to find the GCF of 73400 and 73415?

We will first find the prime factorization of 73400 and 73415. After we will calculate the factors of 73400 and 73415 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 73415

Prime factors of 73415 are 5, 14683. Prime factorization of 73415 in exponential form is:

73415 = 5¹ × 14683¹

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 73415

List of positive integer factors of 73415 that divides 73400 without a remainder.

1, 5, 14683

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73400 and 73415. The biggest common factor number is the GCF number.
So the greatest common factor 73400 and 73415 is 5.

Also check out the Least Common Multiple of 73400 and 73415