What is the Greatest Common Factor of 16754 and 16772?

Greatest common factor (GCF) of 16754 and 16772 is 2.

GCF(16754,16772) = 2

We will now calculate the prime factors of 16754 and 16772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16754 and 16772.

How to find the GCF of 16754 and 16772?

We will first find the prime factorization of 16754 and 16772. After we will calculate the factors of 16754 and 16772 and find the biggest common factor number .

Step-1: Prime Factorization of 16754

Prime factors of 16754 are 2, 8377. Prime factorization of 16754 in exponential form is:

16754 = 2¹ × 8377¹

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 16754

List of positive integer factors of 16754 that divides 16754 without a remainder.

1, 2, 8377

Step-4: Factors of 16772

List of positive integer factors of 16772 that divides 16754 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 16754 and 16772. The biggest common factor number is the GCF number.
So the greatest common factor 16754 and 16772 is 2.

Also check out the Least Common Multiple of 16754 and 16772