What is the Greatest Common Factor of 16786 and 16802?

Greatest common factor (GCF) of 16786 and 16802 is 2.

GCF(16786,16802) = 2

We will now calculate the prime factors of 16786 and 16802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16786 and 16802.

How to find the GCF of 16786 and 16802?

We will first find the prime factorization of 16786 and 16802. After we will calculate the factors of 16786 and 16802 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16802

Prime factors of 16802 are 2, 31, 271. Prime factorization of 16802 in exponential form is:

16802 = 2¹ × 31¹ × 271¹

Step-3: Factors of 16786

List of positive integer factors of 16786 that divides 16786 without a remainder.

1, 2, 7, 11, 14, 22, 77, 109, 154, 218, 763, 1199, 1526, 2398, 8393

Step-4: Factors of 16802

List of positive integer factors of 16802 that divides 16786 without a remainder.

1, 2, 31, 62, 271, 542, 8401

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16786 and 16802. The biggest common factor number is the GCF number.
So the greatest common factor 16786 and 16802 is 2.

Also check out the Least Common Multiple of 16786 and 16802