What is the Greatest Common Factor of 76074 and 76093?

Greatest common factor (GCF) of 76074 and 76093 is 1.

GCF(76074,76093) = 1

We will now calculate the prime factors of 76074 and 76093, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76074 and 76093.

How to find the GCF of 76074 and 76093?

We will first find the prime factorization of 76074 and 76093. After we will calculate the factors of 76074 and 76093 and find the biggest common factor number .

Step-1: Prime Factorization of 76074

Prime factors of 76074 are 2, 3, 31, 409. Prime factorization of 76074 in exponential form is:

76074 = 2¹ × 3¹ × 31¹ × 409¹

Step-2: Prime Factorization of 76093

Prime factors of 76093 are 47, 1619. Prime factorization of 76093 in exponential form is:

76093 = 47¹ × 1619¹

Step-3: Factors of 76074

List of positive integer factors of 76074 that divides 76074 without a remainder.

1, 2, 3, 6, 31, 62, 93, 186, 409, 818, 1227, 2454, 12679, 25358, 38037

Step-4: Factors of 76093

List of positive integer factors of 76093 that divides 76074 without a remainder.

1, 47, 1619

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76074 and 76093. The biggest common factor number is the GCF number.
So the greatest common factor 76074 and 76093 is 1.

Also check out the Least Common Multiple of 76074 and 76093