What is the Greatest Common Factor of 16152 and 16167?

Greatest common factor (GCF) of 16152 and 16167 is 3.

GCF(16152,16167) = 3

We will now calculate the prime factors of 16152 and 16167, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16152 and 16167.

How to find the GCF of 16152 and 16167?

We will first find the prime factorization of 16152 and 16167. After we will calculate the factors of 16152 and 16167 and find the biggest common factor number .

Step-1: Prime Factorization of 16152

Prime factors of 16152 are 2, 3, 673. Prime factorization of 16152 in exponential form is:

16152 = 2³ × 3¹ × 673¹

Step-2: Prime Factorization of 16167

Prime factors of 16167 are 3, 17, 317. Prime factorization of 16167 in exponential form is:

16167 = 3¹ × 17¹ × 317¹

Step-3: Factors of 16152

List of positive integer factors of 16152 that divides 16152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 673, 1346, 2019, 2692, 4038, 5384, 8076

Step-4: Factors of 16167

List of positive integer factors of 16167 that divides 16152 without a remainder.

1, 3, 17, 51, 317, 951, 5389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16152 and 16167. The biggest common factor number is the GCF number.
So the greatest common factor 16152 and 16167 is 3.

Also check out the Least Common Multiple of 16152 and 16167