What is the Greatest Common Factor of 35584 and 35588?

Greatest common factor (GCF) of 35584 and 35588 is 4.

GCF(35584,35588) = 4

We will now calculate the prime factors of 35584 and 35588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35584 and 35588.

How to find the GCF of 35584 and 35588?

We will first find the prime factorization of 35584 and 35588. After we will calculate the factors of 35584 and 35588 and find the biggest common factor number .

Step-1: Prime Factorization of 35584

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

35584 = 2⁸ × 139¹

Step-2: Prime Factorization of 35588

Prime factors of 35588 are 2, 7, 31, 41. Prime factorization of 35588 in exponential form is:

35588 = 2² × 7¹ × 31¹ × 41¹

Step-3: Factors of 35584

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

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

Step-4: Factors of 35588

List of positive integer factors of 35588 that divides 35584 without a remainder.

1, 2, 4, 7, 14, 28, 31, 41, 62, 82, 124, 164, 217, 287, 434, 574, 868, 1148, 1271, 2542, 5084, 8897, 17794

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35584 and 35588. The biggest common factor number is the GCF number.
So the greatest common factor 35584 and 35588 is 4.

Also check out the Least Common Multiple of 35584 and 35588