What is the Greatest Common Factor of 40164 and 40173?

Greatest common factor (GCF) of 40164 and 40173 is 3.

GCF(40164,40173) = 3

We will now calculate the prime factors of 40164 and 40173, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40164 and 40173.

How to find the GCF of 40164 and 40173?

We will first find the prime factorization of 40164 and 40173. After we will calculate the factors of 40164 and 40173 and find the biggest common factor number .

Step-1: Prime Factorization of 40164

Prime factors of 40164 are 2, 3, 3347. Prime factorization of 40164 in exponential form is:

40164 = 2² × 3¹ × 3347¹

Step-2: Prime Factorization of 40173

Prime factors of 40173 are 3, 7, 1913. Prime factorization of 40173 in exponential form is:

40173 = 3¹ × 7¹ × 1913¹

Step-3: Factors of 40164

List of positive integer factors of 40164 that divides 40164 without a remainder.

1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082

Step-4: Factors of 40173

List of positive integer factors of 40173 that divides 40164 without a remainder.

1, 3, 7, 21, 1913, 5739, 13391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40164 and 40173. The biggest common factor number is the GCF number.
So the greatest common factor 40164 and 40173 is 3.

Also check out the Least Common Multiple of 40164 and 40173