What is the Greatest Common Factor of 32613 and 32631?

Greatest common factor (GCF) of 32613 and 32631 is 3.

GCF(32613,32631) = 3

We will now calculate the prime factors of 32613 and 32631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 32613 and 32631.

How to find the GCF of 32613 and 32631?

We will first find the prime factorization of 32613 and 32631. After we will calculate the factors of 32613 and 32631 and find the biggest common factor number .

Step-1: Prime Factorization of 32613

Prime factors of 32613 are 3, 7, 1553. Prime factorization of 32613 in exponential form is:

32613 = 3¹ × 7¹ × 1553¹

Step-2: 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-3: Factors of 32613

List of positive integer factors of 32613 that divides 32613 without a remainder.

1, 3, 7, 21, 1553, 4659, 10871

Step-4: Factors of 32631

List of positive integer factors of 32631 that divides 32613 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 32613 and 32631. The biggest common factor number is the GCF number.
So the greatest common factor 32613 and 32631 is 3.

Also check out the Least Common Multiple of 32613 and 32631