What is the Greatest Common Factor of 73204 and 73218?

Greatest common factor (GCF) of 73204 and 73218 is 2.

GCF(73204,73218) = 2

We will now calculate the prime factors of 73204 and 73218, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73204 and 73218.

How to find the GCF of 73204 and 73218?

We will first find the prime factorization of 73204 and 73218. After we will calculate the factors of 73204 and 73218 and find the biggest common factor number .

Step-1: Prime Factorization of 73204

Prime factors of 73204 are 2, 18301. Prime factorization of 73204 in exponential form is:

73204 = 2² × 18301¹

Step-2: Prime Factorization of 73218

Prime factors of 73218 are 2, 3, 12203. Prime factorization of 73218 in exponential form is:

73218 = 2¹ × 3¹ × 12203¹

Step-3: Factors of 73204

List of positive integer factors of 73204 that divides 73204 without a remainder.

1, 2, 4, 18301, 36602

Step-4: Factors of 73218

List of positive integer factors of 73218 that divides 73204 without a remainder.

1, 2, 3, 6, 12203, 24406, 36609

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73204 and 73218. The biggest common factor number is the GCF number.
So the greatest common factor 73204 and 73218 is 2.

Also check out the Least Common Multiple of 73204 and 73218