What is the Greatest Common Factor of 32580 and 32590?

Greatest common factor (GCF) of 32580 and 32590 is 10.

GCF(32580,32590) = 10

We will now calculate the prime factors of 32580 and 32590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32580 and 32590.

How to find the GCF of 32580 and 32590?

We will first find the prime factorization of 32580 and 32590. After we will calculate the factors of 32580 and 32590 and find the biggest common factor number .

Step-1: Prime Factorization of 32580

Prime factors of 32580 are 2, 3, 5, 181. Prime factorization of 32580 in exponential form is:

32580 = 2² × 3² × 5¹ × 181¹

Step-2: 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-3: Factors of 32580

List of positive integer factors of 32580 that divides 32580 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 181, 362, 543, 724, 905, 1086, 1629, 1810, 2172, 2715, 3258, 3620, 5430, 6516, 8145, 10860, 16290

Step-4: Factors of 32590

List of positive integer factors of 32590 that divides 32580 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32580 and 32590. The biggest common factor number is the GCF number.
So the greatest common factor 32580 and 32590 is 10.

Also check out the Least Common Multiple of 32580 and 32590