What is the Greatest Common Factor of 96327 and 96341?

Greatest common factor (GCF) of 96327 and 96341 is 7.

GCF(96327,96341) = 7

We will now calculate the prime factors of 96327 and 96341, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96327 and 96341.

How to find the GCF of 96327 and 96341?

We will first find the prime factorization of 96327 and 96341. After we will calculate the factors of 96327 and 96341 and find the biggest common factor number .

Step-1: Prime Factorization of 96327

Prime factors of 96327 are 3, 7, 11, 139. Prime factorization of 96327 in exponential form is:

96327 = 3² × 7¹ × 11¹ × 139¹

Step-2: Prime Factorization of 96341

Prime factors of 96341 are 7, 13763. Prime factorization of 96341 in exponential form is:

96341 = 7¹ × 13763¹

Step-3: Factors of 96327

List of positive integer factors of 96327 that divides 96327 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 139, 231, 417, 693, 973, 1251, 1529, 2919, 4587, 8757, 10703, 13761, 32109

Step-4: Factors of 96341

List of positive integer factors of 96341 that divides 96327 without a remainder.

1, 7, 13763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96327 and 96341. The biggest common factor number is the GCF number.
So the greatest common factor 96327 and 96341 is 7.

Also check out the Least Common Multiple of 96327 and 96341