What is the Greatest Common Factor of 9905 and 9921?

Greatest common factor (GCF) of 9905 and 9921 is 1.

GCF(9905,9921) = 1

We will now calculate the prime factors of 9905 and 9921, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9905 and 9921.

How to find the GCF of 9905 and 9921?

We will first find the prime factorization of 9905 and 9921. After we will calculate the factors of 9905 and 9921 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 9921

Prime factors of 9921 are 3, 3307. Prime factorization of 9921 in exponential form is:

9921 = 3¹ × 3307¹

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 9921

List of positive integer factors of 9921 that divides 9905 without a remainder.

1, 3, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9905 and 9921. The biggest common factor number is the GCF number.
So the greatest common factor 9905 and 9921 is 1.

Also check out the Least Common Multiple of 9905 and 9921