What is the Greatest Common Factor of 96717 and 96732?

Greatest common factor (GCF) of 96717 and 96732 is 3.

GCF(96717,96732) = 3

We will now calculate the prime factors of 96717 and 96732, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96717 and 96732.

How to find the GCF of 96717 and 96732?

We will first find the prime factorization of 96717 and 96732. After we will calculate the factors of 96717 and 96732 and find the biggest common factor number .

Step-1: Prime Factorization of 96717

Prime factors of 96717 are 3, 103, 313. Prime factorization of 96717 in exponential form is:

96717 = 3¹ × 103¹ × 313¹

Step-2: Prime Factorization of 96732

Prime factors of 96732 are 2, 3, 2687. Prime factorization of 96732 in exponential form is:

96732 = 2² × 3² × 2687¹

Step-3: Factors of 96717

List of positive integer factors of 96717 that divides 96717 without a remainder.

1, 3, 103, 309, 313, 939, 32239

Step-4: Factors of 96732

List of positive integer factors of 96732 that divides 96717 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 2687, 5374, 8061, 10748, 16122, 24183, 32244, 48366

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96717 and 96732. The biggest common factor number is the GCF number.
So the greatest common factor 96717 and 96732 is 3.

Also check out the Least Common Multiple of 96717 and 96732