What is the Greatest Common Factor of 16763 and 16772?

Greatest common factor (GCF) of 16763 and 16772 is 1.

GCF(16763,16772) = 1

We will now calculate the prime factors of 16763 and 16772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16763 and 16772.

How to find the GCF of 16763 and 16772?

We will first find the prime factorization of 16763 and 16772. After we will calculate the factors of 16763 and 16772 and find the biggest common factor number .

Step-1: Prime Factorization of 16763

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

16763 = 16763¹

Step-2: Prime Factorization of 16772

Prime factors of 16772 are 2, 7, 599. Prime factorization of 16772 in exponential form is:

16772 = 2² × 7¹ × 599¹

Step-3: Factors of 16763

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

Step-4: Factors of 16772

List of positive integer factors of 16772 that divides 16763 without a remainder.

1, 2, 4, 7, 14, 28, 599, 1198, 2396, 4193, 8386

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16763 and 16772. The biggest common factor number is the GCF number.
So the greatest common factor 16763 and 16772 is 1.

Also check out the Least Common Multiple of 16763 and 16772