What is the Greatest Common Factor of 9678 and 9688?

Greatest common factor (GCF) of 9678 and 9688 is 2.

GCF(9678,9688) = 2

We will now calculate the prime factors of 9678 and 9688, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9678 and 9688.

How to find the GCF of 9678 and 9688?

We will first find the prime factorization of 9678 and 9688. After we will calculate the factors of 9678 and 9688 and find the biggest common factor number .

Step-1: Prime Factorization of 9678

Prime factors of 9678 are 2, 3, 1613. Prime factorization of 9678 in exponential form is:

9678 = 2¹ × 3¹ × 1613¹

Step-2: 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-3: Factors of 9678

List of positive integer factors of 9678 that divides 9678 without a remainder.

1, 2, 3, 6, 1613, 3226, 4839

Step-4: Factors of 9688

List of positive integer factors of 9688 that divides 9678 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9678 and 9688. The biggest common factor number is the GCF number.
So the greatest common factor 9678 and 9688 is 2.

Also check out the Least Common Multiple of 9678 and 9688