What is the Greatest Common Factor of 96774 and 96783?

Greatest common factor (GCF) of 96774 and 96783 is 3.

GCF(96774,96783) = 3

We will now calculate the prime factors of 96774 and 96783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96774 and 96783.

How to find the GCF of 96774 and 96783?

We will first find the prime factorization of 96774 and 96783. After we will calculate the factors of 96774 and 96783 and find the biggest common factor number .

Step-1: Prime Factorization of 96774

Prime factors of 96774 are 2, 3, 127. Prime factorization of 96774 in exponential form is:

96774 = 2¹ × 3¹ × 127²

Step-2: Prime Factorization of 96783

Prime factors of 96783 are 3, 32261. Prime factorization of 96783 in exponential form is:

96783 = 3¹ × 32261¹

Step-3: Factors of 96774

List of positive integer factors of 96774 that divides 96774 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762, 16129, 32258, 48387

Step-4: Factors of 96783

List of positive integer factors of 96783 that divides 96774 without a remainder.

1, 3, 32261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96774 and 96783. The biggest common factor number is the GCF number.
So the greatest common factor 96774 and 96783 is 3.

Also check out the Least Common Multiple of 96774 and 96783