What is the Greatest Common Factor of 16058 and 16066?

Greatest common factor (GCF) of 16058 and 16066 is 2.

GCF(16058,16066) = 2

We will now calculate the prime factors of 16058 and 16066, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16058 and 16066.

How to find the GCF of 16058 and 16066?

We will first find the prime factorization of 16058 and 16066. After we will calculate the factors of 16058 and 16066 and find the biggest common factor number .

Step-1: Prime Factorization of 16058

Prime factors of 16058 are 2, 7, 31, 37. Prime factorization of 16058 in exponential form is:

16058 = 2¹ × 7¹ × 31¹ × 37¹

Step-2: Prime Factorization of 16066

Prime factors of 16066 are 2, 29, 277. Prime factorization of 16066 in exponential form is:

16066 = 2¹ × 29¹ × 277¹

Step-3: Factors of 16058

List of positive integer factors of 16058 that divides 16058 without a remainder.

1, 2, 7, 14, 31, 37, 62, 74, 217, 259, 434, 518, 1147, 2294, 8029

Step-4: Factors of 16066

List of positive integer factors of 16066 that divides 16058 without a remainder.

1, 2, 29, 58, 277, 554, 8033

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16058 and 16066. The biggest common factor number is the GCF number.
So the greatest common factor 16058 and 16066 is 2.

Also check out the Least Common Multiple of 16058 and 16066