What is the Greatest Common Factor of 32643 and 32656?

Greatest common factor (GCF) of 32643 and 32656 is 13.

GCF(32643,32656) = 13

We will now calculate the prime factors of 32643 and 32656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32643 and 32656.

How to find the GCF of 32643 and 32656?

We will first find the prime factorization of 32643 and 32656. After we will calculate the factors of 32643 and 32656 and find the biggest common factor number .

Step-1: Prime Factorization of 32643

Prime factors of 32643 are 3, 13, 31. Prime factorization of 32643 in exponential form is:

32643 = 3⁴ × 13¹ × 31¹

Step-2: Prime Factorization of 32656

Prime factors of 32656 are 2, 13, 157. Prime factorization of 32656 in exponential form is:

32656 = 2⁴ × 13¹ × 157¹

Step-3: Factors of 32643

List of positive integer factors of 32643 that divides 32643 without a remainder.

1, 3, 9, 13, 27, 31, 39, 81, 93, 117, 279, 351, 403, 837, 1053, 1209, 2511, 3627, 10881

Step-4: Factors of 32656

List of positive integer factors of 32656 that divides 32643 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 157, 208, 314, 628, 1256, 2041, 2512, 4082, 8164, 16328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32643 and 32656. The biggest common factor number is the GCF number.
So the greatest common factor 32643 and 32656 is 13.

Also check out the Least Common Multiple of 32643 and 32656