What is the Greatest Common Factor of 9894 and 9914?

Greatest common factor (GCF) of 9894 and 9914 is 2.

GCF(9894,9914) = 2

We will now calculate the prime factors of 9894 and 9914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9894 and 9914.

How to find the GCF of 9894 and 9914?

We will first find the prime factorization of 9894 and 9914. After we will calculate the factors of 9894 and 9914 and find the biggest common factor number .

Step-1: Prime Factorization of 9894

Prime factors of 9894 are 2, 3, 17, 97. Prime factorization of 9894 in exponential form is:

9894 = 2¹ × 3¹ × 17¹ × 97¹

Step-2: Prime Factorization of 9914

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

9914 = 2¹ × 4957¹

Step-3: Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947

Step-4: Factors of 9914

List of positive integer factors of 9914 that divides 9894 without a remainder.

1, 2, 4957

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9894 and 9914. The biggest common factor number is the GCF number.
So the greatest common factor 9894 and 9914 is 2.

Also check out the Least Common Multiple of 9894 and 9914