What is the Greatest Common Factor of 32572 and 32586?

Greatest common factor (GCF) of 32572 and 32586 is 2.

GCF(32572,32586) = 2

We will now calculate the prime factors of 32572 and 32586, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32572 and 32586.

How to find the GCF of 32572 and 32586?

We will first find the prime factorization of 32572 and 32586. After we will calculate the factors of 32572 and 32586 and find the biggest common factor number .

Step-1: Prime Factorization of 32572

Prime factors of 32572 are 2, 17, 479. Prime factorization of 32572 in exponential form is:

32572 = 2² × 17¹ × 479¹

Step-2: Prime Factorization of 32586

Prime factors of 32586 are 2, 3, 5431. Prime factorization of 32586 in exponential form is:

32586 = 2¹ × 3¹ × 5431¹

Step-3: Factors of 32572

List of positive integer factors of 32572 that divides 32572 without a remainder.

1, 2, 4, 17, 34, 68, 479, 958, 1916, 8143, 16286

Step-4: Factors of 32586

List of positive integer factors of 32586 that divides 32572 without a remainder.

1, 2, 3, 6, 5431, 10862, 16293

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32572 and 32586. The biggest common factor number is the GCF number.
So the greatest common factor 32572 and 32586 is 2.

Also check out the Least Common Multiple of 32572 and 32586