What is the Greatest Common Factor of 16574 and 16578?

Greatest common factor (GCF) of 16574 and 16578 is 2.

GCF(16574,16578) = 2

We will now calculate the prime factors of 16574 and 16578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16574 and 16578.

How to find the GCF of 16574 and 16578?

We will first find the prime factorization of 16574 and 16578. After we will calculate the factors of 16574 and 16578 and find the biggest common factor number .

Step-1: Prime Factorization of 16574

Prime factors of 16574 are 2, 8287. Prime factorization of 16574 in exponential form is:

16574 = 2¹ × 8287¹

Step-2: Prime Factorization of 16578

Prime factors of 16578 are 2, 3, 307. Prime factorization of 16578 in exponential form is:

16578 = 2¹ × 3³ × 307¹

Step-3: Factors of 16574

List of positive integer factors of 16574 that divides 16574 without a remainder.

1, 2, 8287

Step-4: Factors of 16578

List of positive integer factors of 16578 that divides 16574 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 307, 614, 921, 1842, 2763, 5526, 8289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16574 and 16578. The biggest common factor number is the GCF number.
So the greatest common factor 16574 and 16578 is 2.

Also check out the Least Common Multiple of 16574 and 16578