What is the Greatest Common Factor of 32628 and 32647?

Greatest common factor (GCF) of 32628 and 32647 is 1.

GCF(32628,32647) = 1

We will now calculate the prime factors of 32628 and 32647, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32628 and 32647.

How to find the GCF of 32628 and 32647?

We will first find the prime factorization of 32628 and 32647. After we will calculate the factors of 32628 and 32647 and find the biggest common factor number .

Step-1: Prime Factorization of 32628

Prime factors of 32628 are 2, 3, 2719. Prime factorization of 32628 in exponential form is:

32628 = 2² × 3¹ × 2719¹

Step-2: Prime Factorization of 32647

Prime factors of 32647 are 32647. Prime factorization of 32647 in exponential form is:

32647 = 32647¹

Step-3: Factors of 32628

List of positive integer factors of 32628 that divides 32628 without a remainder.

1, 2, 3, 4, 6, 12, 2719, 5438, 8157, 10876, 16314

Step-4: Factors of 32647

List of positive integer factors of 32647 that divides 32628 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32628 and 32647. The biggest common factor number is the GCF number.
So the greatest common factor 32628 and 32647 is 1.

Also check out the Least Common Multiple of 32628 and 32647