What is the Greatest Common Factor of 32584 and 32600?

Greatest common factor (GCF) of 32584 and 32600 is 8.

GCF(32584,32600) = 8

We will now calculate the prime factors of 32584 and 32600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32584 and 32600.

How to find the GCF of 32584 and 32600?

We will first find the prime factorization of 32584 and 32600. After we will calculate the factors of 32584 and 32600 and find the biggest common factor number .

Step-1: Prime Factorization of 32584

Prime factors of 32584 are 2, 4073. Prime factorization of 32584 in exponential form is:

32584 = 2³ × 4073¹

Step-2: Prime Factorization of 32600

Prime factors of 32600 are 2, 5, 163. Prime factorization of 32600 in exponential form is:

32600 = 2³ × 5² × 163¹

Step-3: Factors of 32584

List of positive integer factors of 32584 that divides 32584 without a remainder.

1, 2, 4, 8, 4073, 8146, 16292

Step-4: Factors of 32600

List of positive integer factors of 32600 that divides 32584 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 163, 200, 326, 652, 815, 1304, 1630, 3260, 4075, 6520, 8150, 16300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32584 and 32600. The biggest common factor number is the GCF number.
So the greatest common factor 32584 and 32600 is 8.

Also check out the Least Common Multiple of 32584 and 32600