What is the Greatest Common Factor of 96194 and 96208?

Greatest common factor (GCF) of 96194 and 96208 is 14.

GCF(96194,96208) = 14

We will now calculate the prime factors of 96194 and 96208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 96194 and 96208.

How to find the GCF of 96194 and 96208?

We will first find the prime factorization of 96194 and 96208. After we will calculate the factors of 96194 and 96208 and find the biggest common factor number .

Step-1: Prime Factorization of 96194

Prime factors of 96194 are 2, 7, 6871. Prime factorization of 96194 in exponential form is:

96194 = 2¹ × 7¹ × 6871¹

Step-2: Prime Factorization of 96208

Prime factors of 96208 are 2, 7, 859. Prime factorization of 96208 in exponential form is:

96208 = 2⁴ × 7¹ × 859¹

Step-3: Factors of 96194

List of positive integer factors of 96194 that divides 96194 without a remainder.

1, 2, 7, 14, 6871, 13742, 48097

Step-4: Factors of 96208

List of positive integer factors of 96208 that divides 96194 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 859, 1718, 3436, 6013, 6872, 12026, 13744, 24052, 48104

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 96194 and 96208. The biggest common factor number is the GCF number.
So the greatest common factor 96194 and 96208 is 14.

Also check out the Least Common Multiple of 96194 and 96208