What is the Greatest Common Factor of 9928 and 9946?

Greatest common factor (GCF) of 9928 and 9946 is 2.

GCF(9928,9946) = 2

We will now calculate the prime factors of 9928 and 9946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9928 and 9946.

How to find the GCF of 9928 and 9946?

We will first find the prime factorization of 9928 and 9946. After we will calculate the factors of 9928 and 9946 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9946

Prime factors of 9946 are 2, 4973. Prime factorization of 9946 in exponential form is:

9946 = 2¹ × 4973¹

Step-3: Factors of 9928

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

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

Step-4: Factors of 9946

List of positive integer factors of 9946 that divides 9928 without a remainder.

1, 2, 4973

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9928 and 9946. The biggest common factor number is the GCF number.
So the greatest common factor 9928 and 9946 is 2.

Also check out the Least Common Multiple of 9928 and 9946