What is the Greatest Common Factor of 76375 and 76379?

Greatest common factor (GCF) of 76375 and 76379 is 1.

GCF(76375,76379) = 1

We will now calculate the prime factors of 76375 and 76379, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76375 and 76379.

How to find the GCF of 76375 and 76379?

We will first find the prime factorization of 76375 and 76379. After we will calculate the factors of 76375 and 76379 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 76379

Prime factors of 76379 are 76379. Prime factorization of 76379 in exponential form is:

76379 = 76379¹

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 76379

List of positive integer factors of 76379 that divides 76375 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76375 and 76379. The biggest common factor number is the GCF number.
So the greatest common factor 76375 and 76379 is 1.

Also check out the Least Common Multiple of 76375 and 76379