What is the Greatest Common Factor of 96621 and 96627?

Greatest common factor (GCF) of 96621 and 96627 is 3.

GCF(96621,96627) = 3

We will now calculate the prime factors of 96621 and 96627, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96621 and 96627.

How to find the GCF of 96621 and 96627?

We will first find the prime factorization of 96621 and 96627. After we will calculate the factors of 96621 and 96627 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96627

Prime factors of 96627 are 3, 31, 1039. Prime factorization of 96627 in exponential form is:

96627 = 3¹ × 31¹ × 1039¹

Step-3: Factors of 96621

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

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

Step-4: Factors of 96627

List of positive integer factors of 96627 that divides 96621 without a remainder.

1, 3, 31, 93, 1039, 3117, 32209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96621 and 96627. The biggest common factor number is the GCF number.
So the greatest common factor 96621 and 96627 is 3.

Also check out the Least Common Multiple of 96621 and 96627