What is the Greatest Common Factor of 76175 and 76185?

Greatest common factor (GCF) of 76175 and 76185 is 5.

GCF(76175,76185) = 5

We will now calculate the prime factors of 76175 and 76185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76175 and 76185.

How to find the GCF of 76175 and 76185?

We will first find the prime factorization of 76175 and 76185. After we will calculate the factors of 76175 and 76185 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 76185

Prime factors of 76185 are 3, 5, 1693. Prime factorization of 76185 in exponential form is:

76185 = 3² × 5¹ × 1693¹

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 76185

List of positive integer factors of 76185 that divides 76175 without a remainder.

1, 3, 5, 9, 15, 45, 1693, 5079, 8465, 15237, 25395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76175 and 76185. The biggest common factor number is the GCF number.
So the greatest common factor 76175 and 76185 is 5.

Also check out the Least Common Multiple of 76175 and 76185