What is the Greatest Common Factor of 75178 and 75186?

Greatest common factor (GCF) of 75178 and 75186 is 2.

GCF(75178,75186) = 2

We will now calculate the prime factors of 75178 and 75186, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75178 and 75186.

How to find the GCF of 75178 and 75186?

We will first find the prime factorization of 75178 and 75186. After we will calculate the factors of 75178 and 75186 and find the biggest common factor number .

Step-1: Prime Factorization of 75178

Prime factors of 75178 are 2, 37589. Prime factorization of 75178 in exponential form is:

75178 = 2¹ × 37589¹

Step-2: 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-3: Factors of 75178

List of positive integer factors of 75178 that divides 75178 without a remainder.

1, 2, 37589

Step-4: Factors of 75186

List of positive integer factors of 75186 that divides 75178 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75178 and 75186. The biggest common factor number is the GCF number.
So the greatest common factor 75178 and 75186 is 2.

Also check out the Least Common Multiple of 75178 and 75186