What is the Greatest Common Factor of 76375 and 76381?

Greatest common factor (GCF) of 76375 and 76381 is 1.

GCF(76375,76381) = 1

We will now calculate the prime factors of 76375 and 76381, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76375 and 76381.

How to find the GCF of 76375 and 76381?

We will first find the prime factorization of 76375 and 76381. After we will calculate the factors of 76375 and 76381 and find the biggest common factor number .

Step-1: Prime Factorization of 76375

Prime factors of 76375 are 5, 13, 47. Prime factorization of 76375 in exponential form is:

76375 = 5³ × 13¹ × 47¹

Step-2: Prime Factorization of 76381

Prime factors of 76381 are 17, 4493. Prime factorization of 76381 in exponential form is:

76381 = 17¹ × 4493¹

Step-3: Factors of 76375

List of positive integer factors of 76375 that divides 76375 without a remainder.

1, 5, 13, 25, 47, 65, 125, 235, 325, 611, 1175, 1625, 3055, 5875, 15275

Step-4: Factors of 76381

List of positive integer factors of 76381 that divides 76375 without a remainder.

1, 17, 4493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76375 and 76381. The biggest common factor number is the GCF number.
So the greatest common factor 76375 and 76381 is 1.

Also check out the Least Common Multiple of 76375 and 76381