What is the Greatest Common Factor of 96732 and 96747?

Greatest common factor (GCF) of 96732 and 96747 is 3.

GCF(96732,96747) = 3

We will now calculate the prime factors of 96732 and 96747, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96732 and 96747.

How to find the GCF of 96732 and 96747?

We will first find the prime factorization of 96732 and 96747. After we will calculate the factors of 96732 and 96747 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 96747

Prime factors of 96747 are 3, 7, 17, 271. Prime factorization of 96747 in exponential form is:

96747 = 3¹ × 7¹ × 17¹ × 271¹

Step-3: Factors of 96732

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

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

Step-4: Factors of 96747

List of positive integer factors of 96747 that divides 96732 without a remainder.

1, 3, 7, 17, 21, 51, 119, 271, 357, 813, 1897, 4607, 5691, 13821, 32249

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96732 and 96747. The biggest common factor number is the GCF number.
So the greatest common factor 96732 and 96747 is 3.

Also check out the Least Common Multiple of 96732 and 96747