What is the Greatest Common Factor of 32568 and 32588?

Greatest common factor (GCF) of 32568 and 32588 is 4.

GCF(32568,32588) = 4

We will now calculate the prime factors of 32568 and 32588, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32568 and 32588.

How to find the GCF of 32568 and 32588?

We will first find the prime factorization of 32568 and 32588. After we will calculate the factors of 32568 and 32588 and find the biggest common factor number .

Step-1: Prime Factorization of 32568

Prime factors of 32568 are 2, 3, 23, 59. Prime factorization of 32568 in exponential form is:

32568 = 2³ × 3¹ × 23¹ × 59¹

Step-2: Prime Factorization of 32588

Prime factors of 32588 are 2, 8147. Prime factorization of 32588 in exponential form is:

32588 = 2² × 8147¹

Step-3: Factors of 32568

List of positive integer factors of 32568 that divides 32568 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 59, 69, 92, 118, 138, 177, 184, 236, 276, 354, 472, 552, 708, 1357, 1416, 2714, 4071, 5428, 8142, 10856, 16284

Step-4: Factors of 32588

List of positive integer factors of 32588 that divides 32568 without a remainder.

1, 2, 4, 8147, 16294

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32568 and 32588. The biggest common factor number is the GCF number.
So the greatest common factor 32568 and 32588 is 4.

Also check out the Least Common Multiple of 32568 and 32588