What is the Greatest Common Factor of 96657 and 96669?

Greatest common factor (GCF) of 96657 and 96669 is 3.

GCF(96657,96669) = 3

We will now calculate the prime factors of 96657 and 96669, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96657 and 96669.

How to find the GCF of 96657 and 96669?

We will first find the prime factorization of 96657 and 96669. After we will calculate the factors of 96657 and 96669 and find the biggest common factor number .

Step-1: Prime Factorization of 96657

Prime factors of 96657 are 3, 11, 29, 101. Prime factorization of 96657 in exponential form is:

96657 = 3¹ × 11¹ × 29¹ × 101¹

Step-2: Prime Factorization of 96669

Prime factors of 96669 are 3, 23, 467. Prime factorization of 96669 in exponential form is:

96669 = 3² × 23¹ × 467¹

Step-3: Factors of 96657

List of positive integer factors of 96657 that divides 96657 without a remainder.

1, 3, 11, 29, 33, 87, 101, 303, 319, 957, 1111, 2929, 3333, 8787, 32219

Step-4: Factors of 96669

List of positive integer factors of 96669 that divides 96657 without a remainder.

1, 3, 9, 23, 69, 207, 467, 1401, 4203, 10741, 32223

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96657 and 96669. The biggest common factor number is the GCF number.
So the greatest common factor 96657 and 96669 is 3.

Also check out the Least Common Multiple of 96657 and 96669