What is the Greatest Common Factor of 16026 and 16030?

Greatest common factor (GCF) of 16026 and 16030 is 2.

GCF(16026,16030) = 2

We will now calculate the prime factors of 16026 and 16030, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16026 and 16030.

How to find the GCF of 16026 and 16030?

We will first find the prime factorization of 16026 and 16030. After we will calculate the factors of 16026 and 16030 and find the biggest common factor number .

Step-1: Prime Factorization of 16026

Prime factors of 16026 are 2, 3, 2671. Prime factorization of 16026 in exponential form is:

16026 = 2¹ × 3¹ × 2671¹

Step-2: Prime Factorization of 16030

Prime factors of 16030 are 2, 5, 7, 229. Prime factorization of 16030 in exponential form is:

16030 = 2¹ × 5¹ × 7¹ × 229¹

Step-3: Factors of 16026

List of positive integer factors of 16026 that divides 16026 without a remainder.

1, 2, 3, 6, 2671, 5342, 8013

Step-4: Factors of 16030

List of positive integer factors of 16030 that divides 16026 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 229, 458, 1145, 1603, 2290, 3206, 8015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16026 and 16030. The biggest common factor number is the GCF number.
So the greatest common factor 16026 and 16030 is 2.

Also check out the Least Common Multiple of 16026 and 16030