What is the Greatest Common Factor of 96366 and 96370?

Greatest common factor (GCF) of 96366 and 96370 is 2.

GCF(96366,96370) = 2

We will now calculate the prime factors of 96366 and 96370, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96366 and 96370.

How to find the GCF of 96366 and 96370?

We will first find the prime factorization of 96366 and 96370. After we will calculate the factors of 96366 and 96370 and find the biggest common factor number .

Step-1: Prime Factorization of 96366

Prime factors of 96366 are 2, 3, 16061. Prime factorization of 96366 in exponential form is:

96366 = 2¹ × 3¹ × 16061¹

Step-2: Prime Factorization of 96370

Prime factors of 96370 are 2, 5, 23, 419. Prime factorization of 96370 in exponential form is:

96370 = 2¹ × 5¹ × 23¹ × 419¹

Step-3: Factors of 96366

List of positive integer factors of 96366 that divides 96366 without a remainder.

1, 2, 3, 6, 16061, 32122, 48183

Step-4: Factors of 96370

List of positive integer factors of 96370 that divides 96366 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 419, 838, 2095, 4190, 9637, 19274, 48185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96366 and 96370. The biggest common factor number is the GCF number.
So the greatest common factor 96366 and 96370 is 2.

Also check out the Least Common Multiple of 96366 and 96370