What is the Greatest Common Factor of 16782 and 16802?

Greatest common factor (GCF) of 16782 and 16802 is 2.

GCF(16782,16802) = 2

We will now calculate the prime factors of 16782 and 16802, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16782 and 16802.

How to find the GCF of 16782 and 16802?

We will first find the prime factorization of 16782 and 16802. After we will calculate the factors of 16782 and 16802 and find the biggest common factor number .

Step-1: Prime Factorization of 16782

Prime factors of 16782 are 2, 3, 2797. Prime factorization of 16782 in exponential form is:

16782 = 2¹ × 3¹ × 2797¹

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 16782

List of positive integer factors of 16782 that divides 16782 without a remainder.

1, 2, 3, 6, 2797, 5594, 8391

Step-4: Factors of 16802

List of positive integer factors of 16802 that divides 16782 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16782 and 16802. The biggest common factor number is the GCF number.
So the greatest common factor 16782 and 16802 is 2.

Also check out the Least Common Multiple of 16782 and 16802