What is the Greatest Common Factor of 16188 and 16207?

Greatest common factor (GCF) of 16188 and 16207 is 19.

GCF(16188,16207) = 19

We will now calculate the prime factors of 16188 and 16207, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16188 and 16207.

How to find the GCF of 16188 and 16207?

We will first find the prime factorization of 16188 and 16207. After we will calculate the factors of 16188 and 16207 and find the biggest common factor number .

Step-1: Prime Factorization of 16188

Prime factors of 16188 are 2, 3, 19, 71. Prime factorization of 16188 in exponential form is:

16188 = 2² × 3¹ × 19¹ × 71¹

Step-2: Prime Factorization of 16207

Prime factors of 16207 are 19, 853. Prime factorization of 16207 in exponential form is:

16207 = 19¹ × 853¹

Step-3: Factors of 16188

List of positive integer factors of 16188 that divides 16188 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 71, 76, 114, 142, 213, 228, 284, 426, 852, 1349, 2698, 4047, 5396, 8094

Step-4: Factors of 16207

List of positive integer factors of 16207 that divides 16188 without a remainder.

1, 19, 853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16188 and 16207. The biggest common factor number is the GCF number.
So the greatest common factor 16188 and 16207 is 19.

Also check out the Least Common Multiple of 16188 and 16207