What is the Greatest Common Factor of 16574 and 16585?

Greatest common factor (GCF) of 16574 and 16585 is 1.

GCF(16574,16585) = 1

We will now calculate the prime factors of 16574 and 16585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16574 and 16585.

How to find the GCF of 16574 and 16585?

We will first find the prime factorization of 16574 and 16585. After we will calculate the factors of 16574 and 16585 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 16585

Prime factors of 16585 are 5, 31, 107. Prime factorization of 16585 in exponential form is:

16585 = 5¹ × 31¹ × 107¹

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 16585

List of positive integer factors of 16585 that divides 16574 without a remainder.

1, 5, 31, 107, 155, 535, 3317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16574 and 16585. The biggest common factor number is the GCF number.
So the greatest common factor 16574 and 16585 is 1.

Also check out the Least Common Multiple of 16574 and 16585