What is the Greatest Common Factor of 75186 and 75206?

Greatest common factor (GCF) of 75186 and 75206 is 2.

GCF(75186,75206) = 2

We will now calculate the prime factors of 75186 and 75206, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75186 and 75206.

How to find the GCF of 75186 and 75206?

We will first find the prime factorization of 75186 and 75206. After we will calculate the factors of 75186 and 75206 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 75206

Prime factors of 75206 are 2, 31, 1213. Prime factorization of 75206 in exponential form is:

75206 = 2¹ × 31¹ × 1213¹

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 75206

List of positive integer factors of 75206 that divides 75186 without a remainder.

1, 2, 31, 62, 1213, 2426, 37603

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75186 and 75206. The biggest common factor number is the GCF number.
So the greatest common factor 75186 and 75206 is 2.

Also check out the Least Common Multiple of 75186 and 75206