What is the Greatest Common Factor of 96752 and 96756?

Greatest common factor (GCF) of 96752 and 96756 is 4.

GCF(96752,96756) = 4

We will now calculate the prime factors of 96752 and 96756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96752 and 96756.

How to find the GCF of 96752 and 96756?

We will first find the prime factorization of 96752 and 96756. After we will calculate the factors of 96752 and 96756 and find the biggest common factor number .

Step-1: Prime Factorization of 96752

Prime factors of 96752 are 2, 6047. Prime factorization of 96752 in exponential form is:

96752 = 2⁴ × 6047¹

Step-2: Prime Factorization of 96756

Prime factors of 96756 are 2, 3, 11, 733. Prime factorization of 96756 in exponential form is:

96756 = 2² × 3¹ × 11¹ × 733¹

Step-3: Factors of 96752

List of positive integer factors of 96752 that divides 96752 without a remainder.

1, 2, 4, 8, 16, 6047, 12094, 24188, 48376

Step-4: Factors of 96756

List of positive integer factors of 96756 that divides 96752 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 733, 1466, 2199, 2932, 4398, 8063, 8796, 16126, 24189, 32252, 48378

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96752 and 96756. The biggest common factor number is the GCF number.
So the greatest common factor 96752 and 96756 is 4.

Also check out the Least Common Multiple of 96752 and 96756