What is the Greatest Common Factor of 35566 and 35584?

Greatest common factor (GCF) of 35566 and 35584 is 2.

GCF(35566,35584) = 2

We will now calculate the prime factors of 35566 and 35584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35566 and 35584.

How to find the GCF of 35566 and 35584?

We will first find the prime factorization of 35566 and 35584. After we will calculate the factors of 35566 and 35584 and find the biggest common factor number .

Step-1: Prime Factorization of 35566

Prime factors of 35566 are 2, 17783. Prime factorization of 35566 in exponential form is:

35566 = 2¹ × 17783¹

Step-2: Prime Factorization of 35584

Prime factors of 35584 are 2, 139. Prime factorization of 35584 in exponential form is:

35584 = 2⁸ × 139¹

Step-3: Factors of 35566

List of positive integer factors of 35566 that divides 35566 without a remainder.

1, 2, 17783

Step-4: Factors of 35584

List of positive integer factors of 35584 that divides 35566 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 139, 256, 278, 556, 1112, 2224, 4448, 8896, 17792

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35566 and 35584. The biggest common factor number is the GCF number.
So the greatest common factor 35566 and 35584 is 2.

Also check out the Least Common Multiple of 35566 and 35584