What is the Greatest Common Factor of 73188 and 73207?

Greatest common factor (GCF) of 73188 and 73207 is 19.

GCF(73188,73207) = 19

We will now calculate the prime factors of 73188 and 73207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73188 and 73207.

How to find the GCF of 73188 and 73207?

We will first find the prime factorization of 73188 and 73207. After we will calculate the factors of 73188 and 73207 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 73207

Prime factors of 73207 are 19, 3853. Prime factorization of 73207 in exponential form is:

73207 = 19¹ × 3853¹

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 73207

List of positive integer factors of 73207 that divides 73188 without a remainder.

1, 19, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73188 and 73207. The biggest common factor number is the GCF number.
So the greatest common factor 73188 and 73207 is 19.

Also check out the Least Common Multiple of 73188 and 73207