What is the Greatest Common Factor of 16772 and 16786?

Greatest common factor (GCF) of 16772 and 16786 is 14.

GCF(16772,16786) = 14

We will now calculate the prime factors of 16772 and 16786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16772 and 16786.

How to find the GCF of 16772 and 16786?

We will first find the prime factorization of 16772 and 16786. After we will calculate the factors of 16772 and 16786 and find the biggest common factor number .

Step-1: 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-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 16772

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

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

Step-4: Factors of 16786

List of positive integer factors of 16786 that divides 16772 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 16772 and 16786. The biggest common factor number is the GCF number.
So the greatest common factor 16772 and 16786 is 14.

Also check out the Least Common Multiple of 16772 and 16786