What is the Greatest Common Factor of 96675 and 96679?

Greatest common factor (GCF) of 96675 and 96679 is 1.

GCF(96675,96679) = 1

We will now calculate the prime factors of 96675 and 96679, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96675 and 96679.

How to find the GCF of 96675 and 96679?

We will first find the prime factorization of 96675 and 96679. After we will calculate the factors of 96675 and 96679 and find the biggest common factor number .

Step-1: Prime Factorization of 96675

Prime factors of 96675 are 3, 5, 1289. Prime factorization of 96675 in exponential form is:

96675 = 3¹ × 5² × 1289¹

Step-2: Prime Factorization of 96679

Prime factors of 96679 are 11, 17, 47. Prime factorization of 96679 in exponential form is:

96679 = 11² × 17¹ × 47¹

Step-3: Factors of 96675

List of positive integer factors of 96675 that divides 96675 without a remainder.

1, 3, 5, 15, 25, 75, 1289, 3867, 6445, 19335, 32225

Step-4: Factors of 96679

List of positive integer factors of 96679 that divides 96675 without a remainder.

1, 11, 17, 47, 121, 187, 517, 799, 2057, 5687, 8789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96675 and 96679. The biggest common factor number is the GCF number.
So the greatest common factor 96675 and 96679 is 1.

Also check out the Least Common Multiple of 96675 and 96679