What is the Greatest Common Factor of 96675 and 96694?

Greatest common factor (GCF) of 96675 and 96694 is 1.

GCF(96675,96694) = 1

We will now calculate the prime factors of 96675 and 96694, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96675 and 96694.

How to find the GCF of 96675 and 96694?

We will first find the prime factorization of 96675 and 96694. After we will calculate the factors of 96675 and 96694 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 96694

Prime factors of 96694 are 2, 13, 3719. Prime factorization of 96694 in exponential form is:

96694 = 2¹ × 13¹ × 3719¹

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 96694

List of positive integer factors of 96694 that divides 96675 without a remainder.

1, 2, 13, 26, 3719, 7438, 48347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96675 and 96694. The biggest common factor number is the GCF number.
So the greatest common factor 96675 and 96694 is 1.

Also check out the Least Common Multiple of 96675 and 96694