What is the Greatest Common Factor of 40671 and 40683?

Greatest common factor (GCF) of 40671 and 40683 is 3.

GCF(40671,40683) = 3

We will now calculate the prime factors of 40671 and 40683, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40671 and 40683.

How to find the GCF of 40671 and 40683?

We will first find the prime factorization of 40671 and 40683. After we will calculate the factors of 40671 and 40683 and find the biggest common factor number .

Step-1: Prime Factorization of 40671

Prime factors of 40671 are 3, 4519. Prime factorization of 40671 in exponential form is:

40671 = 3² × 4519¹

Step-2: Prime Factorization of 40683

Prime factors of 40683 are 3, 71, 191. Prime factorization of 40683 in exponential form is:

40683 = 3¹ × 71¹ × 191¹

Step-3: Factors of 40671

List of positive integer factors of 40671 that divides 40671 without a remainder.

1, 3, 9, 4519, 13557

Step-4: Factors of 40683

List of positive integer factors of 40683 that divides 40671 without a remainder.

1, 3, 71, 191, 213, 573, 13561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40671 and 40683. The biggest common factor number is the GCF number.
So the greatest common factor 40671 and 40683 is 3.

Also check out the Least Common Multiple of 40671 and 40683