What is the Greatest Common Factor of 96698 and 96706?

Greatest common factor (GCF) of 96698 and 96706 is 2.

GCF(96698,96706) = 2

We will now calculate the prime factors of 96698 and 96706, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96698 and 96706.

How to find the GCF of 96698 and 96706?

We will first find the prime factorization of 96698 and 96706. After we will calculate the factors of 96698 and 96706 and find the biggest common factor number .

Step-1: Prime Factorization of 96698

Prime factors of 96698 are 2, 7, 6907. Prime factorization of 96698 in exponential form is:

96698 = 2¹ × 7¹ × 6907¹

Step-2: Prime Factorization of 96706

Prime factors of 96706 are 2, 48353. Prime factorization of 96706 in exponential form is:

96706 = 2¹ × 48353¹

Step-3: Factors of 96698

List of positive integer factors of 96698 that divides 96698 without a remainder.

1, 2, 7, 14, 6907, 13814, 48349

Step-4: Factors of 96706

List of positive integer factors of 96706 that divides 96698 without a remainder.

1, 2, 48353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96698 and 96706. The biggest common factor number is the GCF number.
So the greatest common factor 96698 and 96706 is 2.

Also check out the Least Common Multiple of 96698 and 96706