What is the Greatest Common Factor of 32590 and 32600?

Greatest common factor (GCF) of 32590 and 32600 is 10.

GCF(32590,32600) = 10

We will now calculate the prime factors of 32590 and 32600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32590 and 32600.

How to find the GCF of 32590 and 32600?

We will first find the prime factorization of 32590 and 32600. After we will calculate the factors of 32590 and 32600 and find the biggest common factor number .

Step-1: Prime Factorization of 32590

Prime factors of 32590 are 2, 5, 3259. Prime factorization of 32590 in exponential form is:

32590 = 2¹ × 5¹ × 3259¹

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 32590

List of positive integer factors of 32590 that divides 32590 without a remainder.

1, 2, 5, 10, 3259, 6518, 16295

Step-4: Factors of 32600

List of positive integer factors of 32600 that divides 32590 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 32590 and 32600. The biggest common factor number is the GCF number.
So the greatest common factor 32590 and 32600 is 10.

Also check out the Least Common Multiple of 32590 and 32600