What is the Greatest Common Factor of 97599 and 97617?

Greatest common factor (GCF) of 97599 and 97617 is 3.

GCF(97599,97617) = 3

We will now calculate the prime factors of 97599 and 97617, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97599 and 97617.

How to find the GCF of 97599 and 97617?

We will first find the prime factorization of 97599 and 97617. After we will calculate the factors of 97599 and 97617 and find the biggest common factor number .

Step-1: Prime Factorization of 97599

Prime factors of 97599 are 3, 32533. Prime factorization of 97599 in exponential form is:

97599 = 3¹ × 32533¹

Step-2: Prime Factorization of 97617

Prime factors of 97617 are 3, 13, 2503. Prime factorization of 97617 in exponential form is:

97617 = 3¹ × 13¹ × 2503¹

Step-3: Factors of 97599

List of positive integer factors of 97599 that divides 97599 without a remainder.

1, 3, 32533

Step-4: Factors of 97617

List of positive integer factors of 97617 that divides 97599 without a remainder.

1, 3, 13, 39, 2503, 7509, 32539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97599 and 97617. The biggest common factor number is the GCF number.
So the greatest common factor 97599 and 97617 is 3.

Also check out the Least Common Multiple of 97599 and 97617