What is the Greatest Common Factor of 16775 and 16786?

Greatest common factor (GCF) of 16775 and 16786 is 11.

GCF(16775,16786) = 11

We will now calculate the prime factors of 16775 and 16786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16775 and 16786.

How to find the GCF of 16775 and 16786?

We will first find the prime factorization of 16775 and 16786. After we will calculate the factors of 16775 and 16786 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16786

Prime factors of 16786 are 2, 7, 11, 109. Prime factorization of 16786 in exponential form is:

16786 = 2¹ × 7¹ × 11¹ × 109¹

Step-3: Factors of 16775

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

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

Step-4: Factors of 16786

List of positive integer factors of 16786 that divides 16775 without a remainder.

1, 2, 7, 11, 14, 22, 77, 109, 154, 218, 763, 1199, 1526, 2398, 8393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16775 and 16786. The biggest common factor number is the GCF number.
So the greatest common factor 16775 and 16786 is 11.

Also check out the Least Common Multiple of 16775 and 16786