What is the Greatest Common Factor of 73400 and 73420?

Greatest common factor (GCF) of 73400 and 73420 is 20.

GCF(73400,73420) = 20

We will now calculate the prime factors of 73400 and 73420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73400 and 73420.

How to find the GCF of 73400 and 73420?

We will first find the prime factorization of 73400 and 73420. After we will calculate the factors of 73400 and 73420 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 73420

Prime factors of 73420 are 2, 5, 3671. Prime factorization of 73420 in exponential form is:

73420 = 2² × 5¹ × 3671¹

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 73420

List of positive integer factors of 73420 that divides 73400 without a remainder.

1, 2, 4, 5, 10, 20, 3671, 7342, 14684, 18355, 36710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73400 and 73420. The biggest common factor number is the GCF number.
So the greatest common factor 73400 and 73420 is 20.

Also check out the Least Common Multiple of 73400 and 73420