What is the Greatest Common Factor of 96606 and 96621?

Greatest common factor (GCF) of 96606 and 96621 is 3.

GCF(96606,96621) = 3

We will now calculate the prime factors of 96606 and 96621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96606 and 96621.

How to find the GCF of 96606 and 96621?

We will first find the prime factorization of 96606 and 96621. After we will calculate the factors of 96606 and 96621 and find the biggest common factor number .

Step-1: Prime Factorization of 96606

Prime factors of 96606 are 2, 3, 1789. Prime factorization of 96606 in exponential form is:

96606 = 2¹ × 3³ × 1789¹

Step-2: Prime Factorization of 96621

Prime factors of 96621 are 3, 7, 43, 107. Prime factorization of 96621 in exponential form is:

96621 = 3¹ × 7¹ × 43¹ × 107¹

Step-3: Factors of 96606

List of positive integer factors of 96606 that divides 96606 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1789, 3578, 5367, 10734, 16101, 32202, 48303

Step-4: Factors of 96621

List of positive integer factors of 96621 that divides 96606 without a remainder.

1, 3, 7, 21, 43, 107, 129, 301, 321, 749, 903, 2247, 4601, 13803, 32207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96606 and 96621. The biggest common factor number is the GCF number.
So the greatest common factor 96606 and 96621 is 3.

Also check out the Least Common Multiple of 96606 and 96621