What is the Greatest Common Factor of 76175 and 76187?

Greatest common factor (GCF) of 76175 and 76187 is 1.

GCF(76175,76187) = 1

We will now calculate the prime factors of 76175 and 76187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76175 and 76187.

How to find the GCF of 76175 and 76187?

We will first find the prime factorization of 76175 and 76187. After we will calculate the factors of 76175 and 76187 and find the biggest common factor number .

Step-1: Prime Factorization of 76175

Prime factors of 76175 are 5, 11, 277. Prime factorization of 76175 in exponential form is:

76175 = 5² × 11¹ × 277¹

Step-2: Prime Factorization of 76187

Prime factors of 76187 are 47, 1621. Prime factorization of 76187 in exponential form is:

76187 = 47¹ × 1621¹

Step-3: Factors of 76175

List of positive integer factors of 76175 that divides 76175 without a remainder.

1, 5, 11, 25, 55, 275, 277, 1385, 3047, 6925, 15235

Step-4: Factors of 76187

List of positive integer factors of 76187 that divides 76175 without a remainder.

1, 47, 1621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76175 and 76187. The biggest common factor number is the GCF number.
So the greatest common factor 76175 and 76187 is 1.

Also check out the Least Common Multiple of 76175 and 76187