What is the Greatest Common Factor of 40914 and 40923?

Greatest common factor (GCF) of 40914 and 40923 is 9.

GCF(40914,40923) = 9

We will now calculate the prime factors of 40914 and 40923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 40914 and 40923.

How to find the GCF of 40914 and 40923?

We will first find the prime factorization of 40914 and 40923. After we will calculate the factors of 40914 and 40923 and find the biggest common factor number .

Step-1: Prime Factorization of 40914

Prime factors of 40914 are 2, 3, 2273. Prime factorization of 40914 in exponential form is:

40914 = 2¹ × 3² × 2273¹

Step-2: Prime Factorization of 40923

Prime factors of 40923 are 3, 4547. Prime factorization of 40923 in exponential form is:

40923 = 3² × 4547¹

Step-3: Factors of 40914

List of positive integer factors of 40914 that divides 40914 without a remainder.

1, 2, 3, 6, 9, 18, 2273, 4546, 6819, 13638, 20457

Step-4: Factors of 40923

List of positive integer factors of 40923 that divides 40914 without a remainder.

1, 3, 9, 4547, 13641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 40914 and 40923. The biggest common factor number is the GCF number.
So the greatest common factor 40914 and 40923 is 9.

Also check out the Least Common Multiple of 40914 and 40923