What is the Greatest Common Factor of 96168 and 96178?

Greatest common factor (GCF) of 96168 and 96178 is 2.

GCF(96168,96178) = 2

We will now calculate the prime factors of 96168 and 96178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96168 and 96178.

How to find the GCF of 96168 and 96178?

We will first find the prime factorization of 96168 and 96178. After we will calculate the factors of 96168 and 96178 and find the biggest common factor number .

Step-1: Prime Factorization of 96168

Prime factors of 96168 are 2, 3, 4007. Prime factorization of 96168 in exponential form is:

96168 = 2³ × 3¹ × 4007¹

Step-2: Prime Factorization of 96178

Prime factors of 96178 are 2, 19, 2531. Prime factorization of 96178 in exponential form is:

96178 = 2¹ × 19¹ × 2531¹

Step-3: Factors of 96168

List of positive integer factors of 96168 that divides 96168 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 4007, 8014, 12021, 16028, 24042, 32056, 48084

Step-4: Factors of 96178

List of positive integer factors of 96178 that divides 96168 without a remainder.

1, 2, 19, 38, 2531, 5062, 48089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96168 and 96178. The biggest common factor number is the GCF number.
So the greatest common factor 96168 and 96178 is 2.

Also check out the Least Common Multiple of 96168 and 96178