What is the Greatest Common Factor of 32631 and 32649?

Greatest common factor (GCF) of 32631 and 32649 is 3.

GCF(32631,32649) = 3

We will now calculate the prime factors of 32631 and 32649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32631 and 32649.

How to find the GCF of 32631 and 32649?

We will first find the prime factorization of 32631 and 32649. After we will calculate the factors of 32631 and 32649 and find the biggest common factor number .

Step-1: Prime Factorization of 32631

Prime factors of 32631 are 3, 73, 149. Prime factorization of 32631 in exponential form is:

32631 = 3¹ × 73¹ × 149¹

Step-2: Prime Factorization of 32649

Prime factors of 32649 are 3, 10883. Prime factorization of 32649 in exponential form is:

32649 = 3¹ × 10883¹

Step-3: Factors of 32631

List of positive integer factors of 32631 that divides 32631 without a remainder.

1, 3, 73, 149, 219, 447, 10877

Step-4: Factors of 32649

List of positive integer factors of 32649 that divides 32631 without a remainder.

1, 3, 10883

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32631 and 32649. The biggest common factor number is the GCF number.
So the greatest common factor 32631 and 32649 is 3.

Also check out the Least Common Multiple of 32631 and 32649