What is the Greatest Common Factor of 10566 and 10574?

Greatest common factor (GCF) of 10566 and 10574 is 2.

GCF(10566,10574) = 2

We will now calculate the prime factors of 10566 and 10574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10566 and 10574.

How to find the GCF of 10566 and 10574?

We will first find the prime factorization of 10566 and 10574. After we will calculate the factors of 10566 and 10574 and find the biggest common factor number .

Step-1: Prime Factorization of 10566

Prime factors of 10566 are 2, 3, 587. Prime factorization of 10566 in exponential form is:

10566 = 2¹ × 3² × 587¹

Step-2: Prime Factorization of 10574

Prime factors of 10574 are 2, 17, 311. Prime factorization of 10574 in exponential form is:

10574 = 2¹ × 17¹ × 311¹

Step-3: Factors of 10566

List of positive integer factors of 10566 that divides 10566 without a remainder.

1, 2, 3, 6, 9, 18, 587, 1174, 1761, 3522, 5283

Step-4: Factors of 10574

List of positive integer factors of 10574 that divides 10566 without a remainder.

1, 2, 17, 34, 311, 622, 5287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10566 and 10574. The biggest common factor number is the GCF number.
So the greatest common factor 10566 and 10574 is 2.

Also check out the Least Common Multiple of 10566 and 10574