What is the Greatest Common Factor of 96675 and 96695?

Greatest common factor (GCF) of 96675 and 96695 is 5.

GCF(96675,96695) = 5

We will now calculate the prime factors of 96675 and 96695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96675 and 96695.

How to find the GCF of 96675 and 96695?

We will first find the prime factorization of 96675 and 96695. After we will calculate the factors of 96675 and 96695 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 96695

Prime factors of 96695 are 5, 83, 233. Prime factorization of 96695 in exponential form is:

96695 = 5¹ × 83¹ × 233¹

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 96695

List of positive integer factors of 96695 that divides 96675 without a remainder.

1, 5, 83, 233, 415, 1165, 19339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96675 and 96695. The biggest common factor number is the GCF number.
So the greatest common factor 96675 and 96695 is 5.

Also check out the Least Common Multiple of 96675 and 96695