What is the Greatest Common Factor of 16755 and 16775?

Greatest common factor (GCF) of 16755 and 16775 is 5.

GCF(16755,16775) = 5

We will now calculate the prime factors of 16755 and 16775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16755 and 16775.

How to find the GCF of 16755 and 16775?

We will first find the prime factorization of 16755 and 16775. After we will calculate the factors of 16755 and 16775 and find the biggest common factor number .

Step-1: Prime Factorization of 16755

Prime factors of 16755 are 3, 5, 1117. Prime factorization of 16755 in exponential form is:

16755 = 3¹ × 5¹ × 1117¹

Step-2: Prime Factorization of 16775

Prime factors of 16775 are 5, 11, 61. Prime factorization of 16775 in exponential form is:

16775 = 5² × 11¹ × 61¹

Step-3: Factors of 16755

List of positive integer factors of 16755 that divides 16755 without a remainder.

1, 3, 5, 15, 1117, 3351, 5585

Step-4: Factors of 16775

List of positive integer factors of 16775 that divides 16755 without a remainder.

1, 5, 11, 25, 55, 61, 275, 305, 671, 1525, 3355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16755 and 16775. The biggest common factor number is the GCF number.
So the greatest common factor 16755 and 16775 is 5.

Also check out the Least Common Multiple of 16755 and 16775