What is the Greatest Common Factor of 9905 and 9923?

Greatest common factor (GCF) of 9905 and 9923 is 1.

GCF(9905,9923) = 1

We will now calculate the prime factors of 9905 and 9923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9905 and 9923.

How to find the GCF of 9905 and 9923?

We will first find the prime factorization of 9905 and 9923. After we will calculate the factors of 9905 and 9923 and find the biggest common factor number .

Step-1: Prime Factorization of 9905

Prime factors of 9905 are 5, 7, 283. Prime factorization of 9905 in exponential form is:

9905 = 5¹ × 7¹ × 283¹

Step-2: Prime Factorization of 9923

Prime factors of 9923 are 9923. Prime factorization of 9923 in exponential form is:

9923 = 9923¹

Step-3: Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1, 5, 7, 35, 283, 1415, 1981

Step-4: Factors of 9923

List of positive integer factors of 9923 that divides 9905 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9905 and 9923. The biggest common factor number is the GCF number.
So the greatest common factor 9905 and 9923 is 1.

Also check out the Least Common Multiple of 9905 and 9923