What is the Greatest Common Factor of 17631 and 17643?

Greatest common factor (GCF) of 17631 and 17643 is 3.

GCF(17631,17643) = 3

We will now calculate the prime factors of 17631 and 17643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 17631 and 17643.

How to find the GCF of 17631 and 17643?

We will first find the prime factorization of 17631 and 17643. After we will calculate the factors of 17631 and 17643 and find the biggest common factor number .

Step-1: Prime Factorization of 17631

Prime factors of 17631 are 3, 653. Prime factorization of 17631 in exponential form is:

17631 = 3³ × 653¹

Step-2: Prime Factorization of 17643

Prime factors of 17643 are 3, 5881. Prime factorization of 17643 in exponential form is:

17643 = 3¹ × 5881¹

Step-3: Factors of 17631

List of positive integer factors of 17631 that divides 17631 without a remainder.

1, 3, 9, 27, 653, 1959, 5877

Step-4: Factors of 17643

List of positive integer factors of 17643 that divides 17631 without a remainder.

1, 3, 5881

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 17631 and 17643. The biggest common factor number is the GCF number.
So the greatest common factor 17631 and 17643 is 3.

Also check out the Least Common Multiple of 17631 and 17643