What is the Greatest Common Factor of 32562 and 32572?

Greatest common factor (GCF) of 32562 and 32572 is 2.

GCF(32562,32572) = 2

We will now calculate the prime factors of 32562 and 32572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32562 and 32572.

How to find the GCF of 32562 and 32572?

We will first find the prime factorization of 32562 and 32572. After we will calculate the factors of 32562 and 32572 and find the biggest common factor number .

Step-1: Prime Factorization of 32562

Prime factors of 32562 are 2, 3, 67. Prime factorization of 32562 in exponential form is:

32562 = 2¹ × 3⁵ × 67¹

Step-2: 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-3: Factors of 32562

List of positive integer factors of 32562 that divides 32562 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 67, 81, 134, 162, 201, 243, 402, 486, 603, 1206, 1809, 3618, 5427, 10854, 16281

Step-4: Factors of 32572

List of positive integer factors of 32572 that divides 32562 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32562 and 32572. The biggest common factor number is the GCF number.
So the greatest common factor 32562 and 32572 is 2.

Also check out the Least Common Multiple of 32562 and 32572