What is the Greatest Common Factor of 16762 and 16772?

Greatest common factor (GCF) of 16762 and 16772 is 2.

GCF(16762,16772) = 2

We will now calculate the prime factors of 16762 and 16772, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16762 and 16772.

How to find the GCF of 16762 and 16772?

We will first find the prime factorization of 16762 and 16772. After we will calculate the factors of 16762 and 16772 and find the biggest common factor number .

Step-1: Prime Factorization of 16762

Prime factors of 16762 are 2, 17, 29. Prime factorization of 16762 in exponential form is:

16762 = 2¹ × 17² × 29¹

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 16762

List of positive integer factors of 16762 that divides 16762 without a remainder.

1, 2, 17, 29, 34, 58, 289, 493, 578, 986, 8381

Step-4: Factors of 16772

List of positive integer factors of 16772 that divides 16762 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 16762 and 16772. The biggest common factor number is the GCF number.
So the greatest common factor 16762 and 16772 is 2.

Also check out the Least Common Multiple of 16762 and 16772