What is the Greatest Common Factor of 909 and 923?

Greatest common factor (GCF) of 909 and 923 is 1.

GCF(909,923) = 1

We will now calculate the prime factors of 909 and 923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 909 and 923.

How to find the GCF of 909 and 923?

We will first find the prime factorization of 909 and 923. After we will calculate the factors of 909 and 923 and find the biggest common factor number .

Step-1: Prime Factorization of 909

Prime factors of 909 are 3, 101. Prime factorization of 909 in exponential form is:

909 = 3² × 101¹

Step-2: Prime Factorization of 923

Prime factors of 923 are 13, 71. Prime factorization of 923 in exponential form is:

923 = 13¹ × 71¹

Step-3: Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303

Step-4: Factors of 923

List of positive integer factors of 923 that divides 909 without a remainder.

1, 13, 71

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 909 and 923. The biggest common factor number is the GCF number.
So the greatest common factor 909 and 923 is 1.

Also check out the Least Common Multiple of 909 and 923