What is the Greatest Common Factor of 32643 and 32652?

Greatest common factor (GCF) of 32643 and 32652 is 9.

GCF(32643,32652) = 9

We will now calculate the prime factors of 32643 and 32652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32643 and 32652.

How to find the GCF of 32643 and 32652?

We will first find the prime factorization of 32643 and 32652. After we will calculate the factors of 32643 and 32652 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 32652

Prime factors of 32652 are 2, 3, 907. Prime factorization of 32652 in exponential form is:

32652 = 2² × 3² × 907¹

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 32652

List of positive integer factors of 32652 that divides 32643 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 907, 1814, 2721, 3628, 5442, 8163, 10884, 16326

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32643 and 32652. The biggest common factor number is the GCF number.
So the greatest common factor 32643 and 32652 is 9.

Also check out the Least Common Multiple of 32643 and 32652