What is the Greatest Common Factor of 16056 and 16075?

Greatest common factor (GCF) of 16056 and 16075 is 1.

GCF(16056,16075) = 1

We will now calculate the prime factors of 16056 and 16075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16056 and 16075.

How to find the GCF of 16056 and 16075?

We will first find the prime factorization of 16056 and 16075. After we will calculate the factors of 16056 and 16075 and find the biggest common factor number .

Step-1: Prime Factorization of 16056

Prime factors of 16056 are 2, 3, 223. Prime factorization of 16056 in exponential form is:

16056 = 2³ × 3² × 223¹

Step-2: Prime Factorization of 16075

Prime factors of 16075 are 5, 643. Prime factorization of 16075 in exponential form is:

16075 = 5² × 643¹

Step-3: Factors of 16056

List of positive integer factors of 16056 that divides 16056 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 223, 446, 669, 892, 1338, 1784, 2007, 2676, 4014, 5352, 8028

Step-4: Factors of 16075

List of positive integer factors of 16075 that divides 16056 without a remainder.

1, 5, 25, 643, 3215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16056 and 16075. The biggest common factor number is the GCF number.
So the greatest common factor 16056 and 16075 is 1.

Also check out the Least Common Multiple of 16056 and 16075