What is the Greatest Common Factor of 9914 and 9928?

Greatest common factor (GCF) of 9914 and 9928 is 2.

GCF(9914,9928) = 2

We will now calculate the prime factors of 9914 and 9928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9914 and 9928.

How to find the GCF of 9914 and 9928?

We will first find the prime factorization of 9914 and 9928. After we will calculate the factors of 9914 and 9928 and find the biggest common factor number .

Step-1: Prime Factorization of 9914

Prime factors of 9914 are 2, 4957. Prime factorization of 9914 in exponential form is:

9914 = 2¹ × 4957¹

Step-2: Prime Factorization of 9928

Prime factors of 9928 are 2, 17, 73. Prime factorization of 9928 in exponential form is:

9928 = 2³ × 17¹ × 73¹

Step-3: Factors of 9914

List of positive integer factors of 9914 that divides 9914 without a remainder.

1, 2, 4957

Step-4: Factors of 9928

List of positive integer factors of 9928 that divides 9914 without a remainder.

1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9914 and 9928. The biggest common factor number is the GCF number.
So the greatest common factor 9914 and 9928 is 2.

Also check out the Least Common Multiple of 9914 and 9928