What is the Greatest Common Factor of 9688 and 9694?

Greatest common factor (GCF) of 9688 and 9694 is 2.

GCF(9688,9694) = 2

We will now calculate the prime factors of 9688 and 9694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9688 and 9694.

How to find the GCF of 9688 and 9694?

We will first find the prime factorization of 9688 and 9694. After we will calculate the factors of 9688 and 9694 and find the biggest common factor number .

Step-1: Prime Factorization of 9688

Prime factors of 9688 are 2, 7, 173. Prime factorization of 9688 in exponential form is:

9688 = 2³ × 7¹ × 173¹

Step-2: Prime Factorization of 9694

Prime factors of 9694 are 2, 37, 131. Prime factorization of 9694 in exponential form is:

9694 = 2¹ × 37¹ × 131¹

Step-3: Factors of 9688

List of positive integer factors of 9688 that divides 9688 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 173, 346, 692, 1211, 1384, 2422, 4844

Step-4: Factors of 9694

List of positive integer factors of 9694 that divides 9688 without a remainder.

1, 2, 37, 74, 131, 262, 4847

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9688 and 9694. The biggest common factor number is the GCF number.
So the greatest common factor 9688 and 9694 is 2.

Also check out the Least Common Multiple of 9688 and 9694