What is the Greatest Common Factor of 16035 and 16050?

Greatest common factor (GCF) of 16035 and 16050 is 15.

GCF(16035,16050) = 15

We will now calculate the prime factors of 16035 and 16050, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16035 and 16050.

How to find the GCF of 16035 and 16050?

We will first find the prime factorization of 16035 and 16050. After we will calculate the factors of 16035 and 16050 and find the biggest common factor number .

Step-1: Prime Factorization of 16035

Prime factors of 16035 are 3, 5, 1069. Prime factorization of 16035 in exponential form is:

16035 = 3¹ × 5¹ × 1069¹

Step-2: Prime Factorization of 16050

Prime factors of 16050 are 2, 3, 5, 107. Prime factorization of 16050 in exponential form is:

16050 = 2¹ × 3¹ × 5² × 107¹

Step-3: Factors of 16035

List of positive integer factors of 16035 that divides 16035 without a remainder.

1, 3, 5, 15, 1069, 3207, 5345

Step-4: Factors of 16050

List of positive integer factors of 16050 that divides 16035 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 107, 150, 214, 321, 535, 642, 1070, 1605, 2675, 3210, 5350, 8025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16035 and 16050. The biggest common factor number is the GCF number.
So the greatest common factor 16035 and 16050 is 15.

Also check out the Least Common Multiple of 16035 and 16050