What is the Greatest Common Factor of 75186 and 75194?

Greatest common factor (GCF) of 75186 and 75194 is 2.

GCF(75186,75194) = 2

We will now calculate the prime factors of 75186 and 75194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75186 and 75194.

How to find the GCF of 75186 and 75194?

We will first find the prime factorization of 75186 and 75194. After we will calculate the factors of 75186 and 75194 and find the biggest common factor number .

Step-1: Prime Factorization of 75186

Prime factors of 75186 are 2, 3, 4177. Prime factorization of 75186 in exponential form is:

75186 = 2¹ × 3² × 4177¹

Step-2: Prime Factorization of 75194

Prime factors of 75194 are 2, 7, 41, 131. Prime factorization of 75194 in exponential form is:

75194 = 2¹ × 7¹ × 41¹ × 131¹

Step-3: Factors of 75186

List of positive integer factors of 75186 that divides 75186 without a remainder.

1, 2, 3, 6, 9, 18, 4177, 8354, 12531, 25062, 37593

Step-4: Factors of 75194

List of positive integer factors of 75194 that divides 75186 without a remainder.

1, 2, 7, 14, 41, 82, 131, 262, 287, 574, 917, 1834, 5371, 10742, 37597

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75186 and 75194. The biggest common factor number is the GCF number.
So the greatest common factor 75186 and 75194 is 2.

Also check out the Least Common Multiple of 75186 and 75194