What is the Greatest Common Factor of 16768 and 16778?

Greatest common factor (GCF) of 16768 and 16778 is 2.

GCF(16768,16778) = 2

We will now calculate the prime factors of 16768 and 16778, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16768 and 16778.

How to find the GCF of 16768 and 16778?

We will first find the prime factorization of 16768 and 16778. After we will calculate the factors of 16768 and 16778 and find the biggest common factor number .

Step-1: Prime Factorization of 16768

Prime factors of 16768 are 2, 131. Prime factorization of 16768 in exponential form is:

16768 = 2⁷ × 131¹

Step-2: Prime Factorization of 16778

Prime factors of 16778 are 2, 8389. Prime factorization of 16778 in exponential form is:

16778 = 2¹ × 8389¹

Step-3: Factors of 16768

List of positive integer factors of 16768 that divides 16768 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 131, 262, 524, 1048, 2096, 4192, 8384

Step-4: Factors of 16778

List of positive integer factors of 16778 that divides 16768 without a remainder.

1, 2, 8389

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16768 and 16778. The biggest common factor number is the GCF number.
So the greatest common factor 16768 and 16778 is 2.

Also check out the Least Common Multiple of 16768 and 16778