What is the Greatest Common Factor of 16082 and 16102?

Greatest common factor (GCF) of 16082 and 16102 is 2.

GCF(16082,16102) = 2

We will now calculate the prime factors of 16082 and 16102, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16082 and 16102.

How to find the GCF of 16082 and 16102?

We will first find the prime factorization of 16082 and 16102. After we will calculate the factors of 16082 and 16102 and find the biggest common factor number .

Step-1: Prime Factorization of 16082

Prime factors of 16082 are 2, 11, 17, 43. Prime factorization of 16082 in exponential form is:

16082 = 2¹ × 11¹ × 17¹ × 43¹

Step-2: Prime Factorization of 16102

Prime factors of 16102 are 2, 83, 97. Prime factorization of 16102 in exponential form is:

16102 = 2¹ × 83¹ × 97¹

Step-3: Factors of 16082

List of positive integer factors of 16082 that divides 16082 without a remainder.

1, 2, 11, 17, 22, 34, 43, 86, 187, 374, 473, 731, 946, 1462, 8041

Step-4: Factors of 16102

List of positive integer factors of 16102 that divides 16082 without a remainder.

1, 2, 83, 97, 166, 194, 8051

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16082 and 16102. The biggest common factor number is the GCF number.
So the greatest common factor 16082 and 16102 is 2.

Also check out the Least Common Multiple of 16082 and 16102