What is the Greatest Common Factor of 16102 and 16106?

Greatest common factor (GCF) of 16102 and 16106 is 2.

GCF(16102,16106) = 2

We will now calculate the prime factors of 16102 and 16106, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16102 and 16106.

How to find the GCF of 16102 and 16106?

We will first find the prime factorization of 16102 and 16106. After we will calculate the factors of 16102 and 16106 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16106

Prime factors of 16106 are 2, 8053. Prime factorization of 16106 in exponential form is:

16106 = 2¹ × 8053¹

Step-3: Factors of 16102

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

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

Step-4: Factors of 16106

List of positive integer factors of 16106 that divides 16102 without a remainder.

1, 2, 8053

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16102 and 16106. The biggest common factor number is the GCF number.
So the greatest common factor 16102 and 16106 is 2.

Also check out the Least Common Multiple of 16102 and 16106