What is the Greatest Common Factor of 73188 and 73204?

Greatest common factor (GCF) of 73188 and 73204 is 4.

GCF(73188,73204) = 4

We will now calculate the prime factors of 73188 and 73204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73188 and 73204.

How to find the GCF of 73188 and 73204?

We will first find the prime factorization of 73188 and 73204. After we will calculate the factors of 73188 and 73204 and find the biggest common factor number .

Step-1: Prime Factorization of 73188

Prime factors of 73188 are 2, 3, 19, 107. Prime factorization of 73188 in exponential form is:

73188 = 2² × 3² × 19¹ × 107¹

Step-2: Prime Factorization of 73204

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

73204 = 2² × 18301¹

Step-3: Factors of 73188

List of positive integer factors of 73188 that divides 73188 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 107, 114, 171, 214, 228, 321, 342, 428, 642, 684, 963, 1284, 1926, 2033, 3852, 4066, 6099, 8132, 12198, 18297, 24396, 36594

Step-4: Factors of 73204

List of positive integer factors of 73204 that divides 73188 without a remainder.

1, 2, 4, 18301, 36602

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73188 and 73204. The biggest common factor number is the GCF number.
So the greatest common factor 73188 and 73204 is 4.

Also check out the Least Common Multiple of 73188 and 73204