What is the Greatest Common Factor of 16749 and 16763?

Greatest common factor (GCF) of 16749 and 16763 is 1.

GCF(16749,16763) = 1

We will now calculate the prime factors of 16749 and 16763, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16749 and 16763.

How to find the GCF of 16749 and 16763?

We will first find the prime factorization of 16749 and 16763. After we will calculate the factors of 16749 and 16763 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 16763

Prime factors of 16763 are 16763. Prime factorization of 16763 in exponential form is:

16763 = 16763¹

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 16763

List of positive integer factors of 16763 that divides 16749 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16749 and 16763. The biggest common factor number is the GCF number.
So the greatest common factor 16749 and 16763 is 1.

Also check out the Least Common Multiple of 16749 and 16763