What is the Greatest Common Factor of 16762 and 16774?

Greatest common factor (GCF) of 16762 and 16774 is 2.

GCF(16762,16774) = 2

We will now calculate the prime factors of 16762 and 16774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16762 and 16774.

How to find the GCF of 16762 and 16774?

We will first find the prime factorization of 16762 and 16774. After we will calculate the factors of 16762 and 16774 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 16774

Prime factors of 16774 are 2, 8387. Prime factorization of 16774 in exponential form is:

16774 = 2¹ × 8387¹

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 16774

List of positive integer factors of 16774 that divides 16762 without a remainder.

1, 2, 8387

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16762 and 16774. The biggest common factor number is the GCF number.
So the greatest common factor 16762 and 16774 is 2.

Also check out the Least Common Multiple of 16762 and 16774