What is the Greatest Common Factor of 16552 and 16571?

Greatest common factor (GCF) of 16552 and 16571 is 1.

GCF(16552,16571) = 1

We will now calculate the prime factors of 16552 and 16571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16552 and 16571.

How to find the GCF of 16552 and 16571?

We will first find the prime factorization of 16552 and 16571. After we will calculate the factors of 16552 and 16571 and find the biggest common factor number .

Step-1: Prime Factorization of 16552

Prime factors of 16552 are 2, 2069. Prime factorization of 16552 in exponential form is:

16552 = 2³ × 2069¹

Step-2: Prime Factorization of 16571

Prime factors of 16571 are 73, 227. Prime factorization of 16571 in exponential form is:

16571 = 73¹ × 227¹

Step-3: Factors of 16552

List of positive integer factors of 16552 that divides 16552 without a remainder.

1, 2, 4, 8, 2069, 4138, 8276

Step-4: Factors of 16571

List of positive integer factors of 16571 that divides 16552 without a remainder.

1, 73, 227

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16552 and 16571. The biggest common factor number is the GCF number.
So the greatest common factor 16552 and 16571 is 1.

Also check out the Least Common Multiple of 16552 and 16571