What is the Greatest Common Factor of 75806 and 75818?

Greatest common factor (GCF) of 75806 and 75818 is 2.

GCF(75806,75818) = 2

We will now calculate the prime factors of 75806 and 75818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75806 and 75818.

How to find the GCF of 75806 and 75818?

We will first find the prime factorization of 75806 and 75818. After we will calculate the factors of 75806 and 75818 and find the biggest common factor number .

Step-1: Prime Factorization of 75806

Prime factors of 75806 are 2, 29, 1307. Prime factorization of 75806 in exponential form is:

75806 = 2¹ × 29¹ × 1307¹

Step-2: Prime Factorization of 75818

Prime factors of 75818 are 2, 167, 227. Prime factorization of 75818 in exponential form is:

75818 = 2¹ × 167¹ × 227¹

Step-3: Factors of 75806

List of positive integer factors of 75806 that divides 75806 without a remainder.

1, 2, 29, 58, 1307, 2614, 37903

Step-4: Factors of 75818

List of positive integer factors of 75818 that divides 75806 without a remainder.

1, 2, 167, 227, 334, 454, 37909

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75806 and 75818. The biggest common factor number is the GCF number.
So the greatest common factor 75806 and 75818 is 2.

Also check out the Least Common Multiple of 75806 and 75818