What is the Greatest Common Factor of 96738 and 96756?

Greatest common factor (GCF) of 96738 and 96756 is 6.

GCF(96738,96756) = 6

We will now calculate the prime factors of 96738 and 96756, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96738 and 96756.

How to find the GCF of 96738 and 96756?

We will first find the prime factorization of 96738 and 96756. After we will calculate the factors of 96738 and 96756 and find the biggest common factor number .

Step-1: Prime Factorization of 96738

Prime factors of 96738 are 2, 3, 23, 701. Prime factorization of 96738 in exponential form is:

96738 = 2¹ × 3¹ × 23¹ × 701¹

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 96738

List of positive integer factors of 96738 that divides 96738 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 701, 1402, 2103, 4206, 16123, 32246, 48369

Step-4: Factors of 96756

List of positive integer factors of 96756 that divides 96738 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 96738 and 96756. The biggest common factor number is the GCF number.
So the greatest common factor 96738 and 96756 is 6.

Also check out the Least Common Multiple of 96738 and 96756