What is the Greatest Common Factor of 16749 and 16766?

Greatest common factor (GCF) of 16749 and 16766 is 1.

GCF(16749,16766) = 1

We will now calculate the prime factors of 16749 and 16766, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16749 and 16766.

How to find the GCF of 16749 and 16766?

We will first find the prime factorization of 16749 and 16766. After we will calculate the factors of 16749 and 16766 and find the biggest common factor number .

Step-1: Prime Factorization of 16749

Prime factors of 16749 are 3, 1861. Prime factorization of 16749 in exponential form is:

16749 = 3² × 1861¹

Step-2: Prime Factorization of 16766

Prime factors of 16766 are 2, 83, 101. Prime factorization of 16766 in exponential form is:

16766 = 2¹ × 83¹ × 101¹

Step-3: Factors of 16749

List of positive integer factors of 16749 that divides 16749 without a remainder.

1, 3, 9, 1861, 5583

Step-4: Factors of 16766

List of positive integer factors of 16766 that divides 16749 without a remainder.

1, 2, 83, 101, 166, 202, 8383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16749 and 16766. The biggest common factor number is the GCF number.
So the greatest common factor 16749 and 16766 is 1.

Also check out the Least Common Multiple of 16749 and 16766