What is the Greatest Common Factor of 9919 and 9931?

Greatest common factor (GCF) of 9919 and 9931 is 1.

GCF(9919,9931) = 1

We will now calculate the prime factors of 9919 and 9931, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9919 and 9931.

How to find the GCF of 9919 and 9931?

We will first find the prime factorization of 9919 and 9931. After we will calculate the factors of 9919 and 9931 and find the biggest common factor number .

Step-1: Prime Factorization of 9919

Prime factors of 9919 are 7, 13, 109. Prime factorization of 9919 in exponential form is:

9919 = 7¹ × 13¹ × 109¹

Step-2: Prime Factorization of 9931

Prime factors of 9931 are 9931. Prime factorization of 9931 in exponential form is:

9931 = 9931¹

Step-3: Factors of 9919

List of positive integer factors of 9919 that divides 9919 without a remainder.

1, 7, 13, 91, 109, 763, 1417

Step-4: Factors of 9931

List of positive integer factors of 9931 that divides 9919 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9919 and 9931. The biggest common factor number is the GCF number.
So the greatest common factor 9919 and 9931 is 1.

Also check out the Least Common Multiple of 9919 and 9931